{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-16T12:25:17.770631Z",
     "start_time": "2018-07-16T12:25:17.759820Z"
    }
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from glob import glob\n",
    "from IPython.display import display\n",
    "pd.set_option('display.max_columns', 99)\n",
    "pd.set_option('display.max_rows', 99)\n",
    "from matplotlib import pyplot as plt\n",
    "import EDA\n",
    "import utils\n",
    "#sorted(glob('../data/*'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-16T12:25:17.750456Z",
     "start_time": "2018-07-16T12:23:44.766460Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 20/20 [00:43<00:00,  2.20s/it]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SK_ID_PREV</th>\n",
       "      <th>SK_ID_CURR</th>\n",
       "      <th>NAME_CONTRACT_TYPE</th>\n",
       "      <th>AMT_ANNUITY</th>\n",
       "      <th>AMT_APPLICATION</th>\n",
       "      <th>AMT_CREDIT</th>\n",
       "      <th>AMT_DOWN_PAYMENT</th>\n",
       "      <th>AMT_GOODS_PRICE</th>\n",
       "      <th>WEEKDAY_APPR_PROCESS_START</th>\n",
       "      <th>HOUR_APPR_PROCESS_START</th>\n",
       "      <th>FLAG_LAST_APPL_PER_CONTRACT</th>\n",
       "      <th>NFLAG_LAST_APPL_IN_DAY</th>\n",
       "      <th>RATE_DOWN_PAYMENT</th>\n",
       "      <th>RATE_INTEREST_PRIMARY</th>\n",
       "      <th>RATE_INTEREST_PRIVILEGED</th>\n",
       "      <th>NAME_CASH_LOAN_PURPOSE</th>\n",
       "      <th>NAME_CONTRACT_STATUS</th>\n",
       "      <th>DAYS_DECISION</th>\n",
       "      <th>NAME_PAYMENT_TYPE</th>\n",
       "      <th>CODE_REJECT_REASON</th>\n",
       "      <th>NAME_TYPE_SUITE</th>\n",
       "      <th>NAME_CLIENT_TYPE</th>\n",
       "      <th>NAME_GOODS_CATEGORY</th>\n",
       "      <th>NAME_PORTFOLIO</th>\n",
       "      <th>NAME_PRODUCT_TYPE</th>\n",
       "      <th>CHANNEL_TYPE</th>\n",
       "      <th>SELLERPLACE_AREA</th>\n",
       "      <th>NAME_SELLER_INDUSTRY</th>\n",
       "      <th>CNT_PAYMENT</th>\n",
       "      <th>NAME_YIELD_GROUP</th>\n",
       "      <th>PRODUCT_COMBINATION</th>\n",
       "      <th>DAYS_FIRST_DRAWING</th>\n",
       "      <th>DAYS_FIRST_DUE</th>\n",
       "      <th>DAYS_LAST_DUE_1ST_VERSION</th>\n",
       "      <th>DAYS_LAST_DUE</th>\n",
       "      <th>DAYS_TERMINATION</th>\n",
       "      <th>NFLAG_INSURED_ON_APPROVAL</th>\n",
       "      <th>app_AMT_INCOME_TOTAL</th>\n",
       "      <th>app_AMT_CREDIT</th>\n",
       "      <th>app_AMT_ANNUITY</th>\n",
       "      <th>app_AMT_GOODS_PRICE</th>\n",
       "      <th>app_DAYS_BIRTH</th>\n",
       "      <th>app_DAYS_EMPLOYED</th>\n",
       "      <th>app_DAYS_REGISTRATION</th>\n",
       "      <th>app_DAYS_ID_PUBLISH</th>\n",
       "      <th>app_DAYS_LAST_PHONE_CHANGE</th>\n",
       "      <th>days_fdue-m-fdrw</th>\n",
       "      <th>days_ldue1-m-fdrw</th>\n",
       "      <th>days_ldue-m-fdrw</th>\n",
       "      <th>...</th>\n",
       "      <th>past_payment_50m</th>\n",
       "      <th>past_payment_51m</th>\n",
       "      <th>past_payment_52m</th>\n",
       "      <th>past_payment_53m</th>\n",
       "      <th>past_payment_54m</th>\n",
       "      <th>past_payment_55m</th>\n",
       "      <th>past_payment_56m</th>\n",
       "      <th>past_payment_57m</th>\n",
       "      <th>past_payment_58m</th>\n",
       "      <th>past_payment_59m</th>\n",
       "      <th>past_payment_60m</th>\n",
       "      <th>past_payment_61m</th>\n",
       "      <th>past_payment_62m</th>\n",
       "      <th>past_payment_63m</th>\n",
       "      <th>past_payment_64m</th>\n",
       "      <th>past_payment_65m</th>\n",
       "      <th>past_payment_66m</th>\n",
       "      <th>past_payment_67m</th>\n",
       "      <th>past_payment_68m</th>\n",
       "      <th>past_payment_69m</th>\n",
       "      <th>past_payment_70m</th>\n",
       "      <th>past_payment_71m</th>\n",
       "      <th>past_payment_72m</th>\n",
       "      <th>past_payment_73m</th>\n",
       "      <th>past_payment_74m</th>\n",
       "      <th>past_payment_75m</th>\n",
       "      <th>past_payment_76m</th>\n",
       "      <th>past_payment_77m</th>\n",
       "      <th>past_payment_78m</th>\n",
       "      <th>past_payment_79m</th>\n",
       "      <th>past_payment_80m</th>\n",
       "      <th>past_payment_81m</th>\n",
       "      <th>past_payment_82m</th>\n",
       "      <th>past_payment_83m</th>\n",
       "      <th>past_payment_84m</th>\n",
       "      <th>past_payment_85m</th>\n",
       "      <th>past_payment_86m</th>\n",
       "      <th>past_payment_87m</th>\n",
       "      <th>past_payment_88m</th>\n",
       "      <th>past_payment_89m</th>\n",
       "      <th>past_payment_90m</th>\n",
       "      <th>past_payment_91m</th>\n",
       "      <th>past_payment_92m</th>\n",
       "      <th>past_payment_93m</th>\n",
       "      <th>past_payment_94m</th>\n",
       "      <th>past_payment_95m</th>\n",
       "      <th>past_payment_96m</th>\n",
       "      <th>past_payment_97m</th>\n",
       "      <th>APP_CREDIT_PERC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>201668</th>\n",
       "      <td>1369693</td>\n",
       "      <td>100001</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>3951.000</td>\n",
       "      <td>24835.5</td>\n",
       "      <td>23787.0</td>\n",
       "      <td>2520.0</td>\n",
       "      <td>24835.5</td>\n",
       "      <td>FRIDAY</td>\n",
       "      <td>13</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.104326</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-1740</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Family</td>\n",
       "      <td>Refreshed</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Country-wide</td>\n",
       "      <td>23</td>\n",
       "      <td>Connectivity</td>\n",
       "      <td>8.0</td>\n",
       "      <td>high</td>\n",
       "      <td>POS mobile with interest</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1709.0</td>\n",
       "      <td>-1499.0</td>\n",
       "      <td>-1619.0</td>\n",
       "      <td>-1612.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>135000.0</td>\n",
       "      <td>568800.0</td>\n",
       "      <td>20560.5</td>\n",
       "      <td>450000.0</td>\n",
       "      <td>-19241</td>\n",
       "      <td>-2329</td>\n",
       "      <td>-5170.0</td>\n",
       "      <td>-812</td>\n",
       "      <td>-1740.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.044079</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>892077</th>\n",
       "      <td>1038818</td>\n",
       "      <td>100002</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>9251.775</td>\n",
       "      <td>179055.0</td>\n",
       "      <td>179055.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>179055.0</td>\n",
       "      <td>SATURDAY</td>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-606</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>New</td>\n",
       "      <td>Vehicles</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>500</td>\n",
       "      <td>Auto technology</td>\n",
       "      <td>24.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS other with interest</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-565.0</td>\n",
       "      <td>125.0</td>\n",
       "      <td>-25.0</td>\n",
       "      <td>-17.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>202500.0</td>\n",
       "      <td>406597.5</td>\n",
       "      <td>24700.5</td>\n",
       "      <td>351000.0</td>\n",
       "      <td>-9461</td>\n",
       "      <td>-637</td>\n",
       "      <td>-3648.0</td>\n",
       "      <td>-2120</td>\n",
       "      <td>-1134.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>575941</th>\n",
       "      <td>1810518</td>\n",
       "      <td>100003</td>\n",
       "      <td>Cash loans</td>\n",
       "      <td>98356.995</td>\n",
       "      <td>900000.0</td>\n",
       "      <td>1035882.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>900000.0</td>\n",
       "      <td>FRIDAY</td>\n",
       "      <td>12</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-746</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Unaccompanied</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cash</td>\n",
       "      <td>x-sell</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>12.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>Cash X-Sell: low</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-716.0</td>\n",
       "      <td>-386.0</td>\n",
       "      <td>-536.0</td>\n",
       "      <td>-527.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>270000.0</td>\n",
       "      <td>1293502.5</td>\n",
       "      <td>35698.5</td>\n",
       "      <td>1129500.0</td>\n",
       "      <td>-16765</td>\n",
       "      <td>-1188</td>\n",
       "      <td>-1186.0</td>\n",
       "      <td>-291</td>\n",
       "      <td>-828.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.868825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1021650</th>\n",
       "      <td>2636178</td>\n",
       "      <td>100003</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>64567.665</td>\n",
       "      <td>337500.0</td>\n",
       "      <td>348637.5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>337500.0</td>\n",
       "      <td>SUNDAY</td>\n",
       "      <td>17</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-828</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Family</td>\n",
       "      <td>Refreshed</td>\n",
       "      <td>Furniture</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>1400</td>\n",
       "      <td>Furniture</td>\n",
       "      <td>6.0</td>\n",
       "      <td>middle</td>\n",
       "      <td>POS industry with interest</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-797.0</td>\n",
       "      <td>-647.0</td>\n",
       "      <td>-647.0</td>\n",
       "      <td>-639.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>270000.0</td>\n",
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       "      <td>-16765</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.968054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1223745</th>\n",
       "      <td>2396755</td>\n",
       "      <td>100003</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>6737.310</td>\n",
       "      <td>68809.5</td>\n",
       "      <td>68053.5</td>\n",
       "      <td>6885.0</td>\n",
       "      <td>68809.5</td>\n",
       "      <td>SATURDAY</td>\n",
       "      <td>15</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.100061</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-2341</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Family</td>\n",
       "      <td>Refreshed</td>\n",
       "      <td>Consumer Electronics</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Country-wide</td>\n",
       "      <td>200</td>\n",
       "      <td>Consumer electronics</td>\n",
       "      <td>12.0</td>\n",
       "      <td>middle</td>\n",
       "      <td>POS household with interest</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-2310.0</td>\n",
       "      <td>-1980.0</td>\n",
       "      <td>-1980.0</td>\n",
       "      <td>-1976.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>270000.0</td>\n",
       "      <td>1293502.5</td>\n",
       "      <td>35698.5</td>\n",
       "      <td>1129500.0</td>\n",
       "      <td>-16765</td>\n",
       "      <td>-1188</td>\n",
       "      <td>-1186.0</td>\n",
       "      <td>-291</td>\n",
       "      <td>-828.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.011109</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 339 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         SK_ID_PREV  SK_ID_CURR NAME_CONTRACT_TYPE  AMT_ANNUITY  \\\n",
       "201668      1369693      100001     Consumer loans     3951.000   \n",
       "892077      1038818      100002     Consumer loans     9251.775   \n",
       "575941      1810518      100003         Cash loans    98356.995   \n",
       "1021650     2636178      100003     Consumer loans    64567.665   \n",
       "1223745     2396755      100003     Consumer loans     6737.310   \n",
       "\n",
       "         AMT_APPLICATION  AMT_CREDIT  AMT_DOWN_PAYMENT  AMT_GOODS_PRICE  \\\n",
       "201668           24835.5     23787.0            2520.0          24835.5   \n",
       "892077          179055.0    179055.0               0.0         179055.0   \n",
       "575941          900000.0   1035882.0               0.0         900000.0   \n",
       "1021650         337500.0    348637.5               0.0         337500.0   \n",
       "1223745          68809.5     68053.5            6885.0          68809.5   \n",
       "\n",
       "        WEEKDAY_APPR_PROCESS_START  HOUR_APPR_PROCESS_START  \\\n",
       "201668                      FRIDAY                       13   \n",
       "892077                    SATURDAY                        9   \n",
       "575941                      FRIDAY                       12   \n",
       "1021650                     SUNDAY                       17   \n",
       "1223745                   SATURDAY                       15   \n",
       "\n",
       "         FLAG_LAST_APPL_PER_CONTRACT  NFLAG_LAST_APPL_IN_DAY  \\\n",
       "201668                             1                       1   \n",
       "892077                             1                       1   \n",
       "575941                             1                       1   \n",
       "1021650                            1                       1   \n",
       "1223745                            1                       1   \n",
       "\n",
       "         RATE_DOWN_PAYMENT  RATE_INTEREST_PRIMARY  RATE_INTEREST_PRIVILEGED  \\\n",
       "201668            0.104326                    NaN                       NaN   \n",
       "892077            0.000000                    NaN                       NaN   \n",
       "575941            0.000000                    NaN                       NaN   \n",
       "1021650           0.000000                    NaN                       NaN   \n",
       "1223745           0.100061                    NaN                       NaN   \n",
       "\n",
       "        NAME_CASH_LOAN_PURPOSE NAME_CONTRACT_STATUS  DAYS_DECISION  \\\n",
       "201668                     XAP             Approved          -1740   \n",
       "892077                     XAP             Approved           -606   \n",
       "575941                     XNA             Approved           -746   \n",
       "1021650                    XAP             Approved           -828   \n",
       "1223745                    XAP             Approved          -2341   \n",
       "\n",
       "             NAME_PAYMENT_TYPE CODE_REJECT_REASON NAME_TYPE_SUITE  \\\n",
       "201668   Cash through the bank                XAP          Family   \n",
       "892077                     XNA                XAP             NaN   \n",
       "575941                     XNA                XAP   Unaccompanied   \n",
       "1021650  Cash through the bank                XAP          Family   \n",
       "1223745  Cash through the bank                XAP          Family   \n",
       "\n",
       "        NAME_CLIENT_TYPE   NAME_GOODS_CATEGORY NAME_PORTFOLIO  \\\n",
       "201668         Refreshed                Mobile            POS   \n",
       "892077               New              Vehicles            POS   \n",
       "575941          Repeater                   XNA           Cash   \n",
       "1021650        Refreshed             Furniture            POS   \n",
       "1223745        Refreshed  Consumer Electronics            POS   \n",
       "\n",
       "        NAME_PRODUCT_TYPE             CHANNEL_TYPE  SELLERPLACE_AREA  \\\n",
       "201668                XNA             Country-wide                23   \n",
       "892077                XNA                    Stone               500   \n",
       "575941             x-sell  Credit and cash offices                -1   \n",
       "1021650               XNA                    Stone              1400   \n",
       "1223745               XNA             Country-wide               200   \n",
       "\n",
       "         NAME_SELLER_INDUSTRY  CNT_PAYMENT NAME_YIELD_GROUP  \\\n",
       "201668           Connectivity          8.0             high   \n",
       "892077        Auto technology         24.0       low_normal   \n",
       "575941                    XNA         12.0       low_normal   \n",
       "1021650             Furniture          6.0           middle   \n",
       "1223745  Consumer electronics         12.0           middle   \n",
       "\n",
       "                 PRODUCT_COMBINATION  DAYS_FIRST_DRAWING  DAYS_FIRST_DUE  \\\n",
       "201668      POS mobile with interest                 NaN         -1709.0   \n",
       "892077       POS other with interest                 NaN          -565.0   \n",
       "575941              Cash X-Sell: low                 NaN          -716.0   \n",
       "1021650   POS industry with interest                 NaN          -797.0   \n",
       "1223745  POS household with interest                 NaN         -2310.0   \n",
       "\n",
       "         DAYS_LAST_DUE_1ST_VERSION  DAYS_LAST_DUE  DAYS_TERMINATION  \\\n",
       "201668                     -1499.0        -1619.0           -1612.0   \n",
       "892077                       125.0          -25.0             -17.0   \n",
       "575941                      -386.0         -536.0            -527.0   \n",
       "1021650                     -647.0         -647.0            -639.0   \n",
       "1223745                    -1980.0        -1980.0           -1976.0   \n",
       "\n",
       "         NFLAG_INSURED_ON_APPROVAL  app_AMT_INCOME_TOTAL  app_AMT_CREDIT  \\\n",
       "201668                         0.0              135000.0        568800.0   \n",
       "892077                         0.0              202500.0        406597.5   \n",
       "575941                         1.0              270000.0       1293502.5   \n",
       "1021650                        0.0              270000.0       1293502.5   \n",
       "1223745                        1.0              270000.0       1293502.5   \n",
       "\n",
       "         app_AMT_ANNUITY  app_AMT_GOODS_PRICE  app_DAYS_BIRTH  \\\n",
       "201668           20560.5             450000.0          -19241   \n",
       "892077           24700.5             351000.0           -9461   \n",
       "575941           35698.5            1129500.0          -16765   \n",
       "1021650          35698.5            1129500.0          -16765   \n",
       "1223745          35698.5            1129500.0          -16765   \n",
       "\n",
       "         app_DAYS_EMPLOYED  app_DAYS_REGISTRATION  app_DAYS_ID_PUBLISH  \\\n",
       "201668               -2329                -5170.0                 -812   \n",
       "892077                -637                -3648.0                -2120   \n",
       "575941               -1188                -1186.0                 -291   \n",
       "1021650              -1188                -1186.0                 -291   \n",
       "1223745              -1188                -1186.0                 -291   \n",
       "\n",
       "         app_DAYS_LAST_PHONE_CHANGE  days_fdue-m-fdrw  days_ldue1-m-fdrw  \\\n",
       "201668                      -1740.0               NaN                NaN   \n",
       "892077                      -1134.0               NaN                NaN   \n",
       "575941                       -828.0               NaN                NaN   \n",
       "1021650                      -828.0               NaN                NaN   \n",
       "1223745                      -828.0               NaN                NaN   \n",
       "\n",
       "         days_ldue-m-fdrw       ...         past_payment_50m  \\\n",
       "201668                NaN       ...                      NaN   \n",
       "892077                NaN       ...                      NaN   \n",
       "575941                NaN       ...                      NaN   \n",
       "1021650               NaN       ...                      NaN   \n",
       "1223745               NaN       ...                      NaN   \n",
       "\n",
       "         past_payment_51m  past_payment_52m  past_payment_53m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_54m  past_payment_55m  past_payment_56m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_57m  past_payment_58m  past_payment_59m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_60m  past_payment_61m  past_payment_62m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_63m  past_payment_64m  past_payment_65m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_66m  past_payment_67m  past_payment_68m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_69m  past_payment_70m  past_payment_71m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_72m  past_payment_73m  past_payment_74m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_75m  past_payment_76m  past_payment_77m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_78m  past_payment_79m  past_payment_80m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_81m  past_payment_82m  past_payment_83m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_84m  past_payment_85m  past_payment_86m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_87m  past_payment_88m  past_payment_89m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_90m  past_payment_91m  past_payment_92m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_93m  past_payment_94m  past_payment_95m  \\\n",
       "201668                NaN               NaN               NaN   \n",
       "892077                NaN               NaN               NaN   \n",
       "575941                NaN               NaN               NaN   \n",
       "1021650               NaN               NaN               NaN   \n",
       "1223745               NaN               NaN               NaN   \n",
       "\n",
       "         past_payment_96m  past_payment_97m  APP_CREDIT_PERC  \n",
       "201668                NaN               NaN         1.044079  \n",
       "892077                NaN               NaN         1.000000  \n",
       "575941                NaN               NaN         0.868825  \n",
       "1021650               NaN               NaN         0.968054  \n",
       "1223745               NaN               NaN         1.011109  \n",
       "\n",
       "[5 rows x 339 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = utils.read_pickles('../data/previous_application').sort_values(['SK_ID_CURR', 'DAYS_DECISION'], ascending=[True, False])\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-16T12:25:29.768473Z",
     "start_time": "2018-07-16T12:25:29.225775Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f683427b828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['SELLERPLACE_AREA'].hist(bins=100); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-16T12:39:01.727689Z",
     "start_time": "2018-07-16T12:37:10.842214Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6844f0e588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['SELLERPLACE_AREA'].plot(kind='kde'); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-16T12:25:53.317356Z",
     "start_time": "2018-07-16T12:25:53.037626Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    1.670214e+06\n",
       "mean     3.139511e+02\n",
       "std      7.127443e+03\n",
       "min     -1.000000e+00\n",
       "25%     -1.000000e+00\n",
       "50%      3.000000e+00\n",
       "75%      8.200000e+01\n",
       "max      4.000000e+06\n",
       "Name: SELLERPLACE_AREA, dtype: float64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['SELLERPLACE_AREA'].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-16T12:45:20.871054Z",
     "start_time": "2018-07-16T12:45:17.602185Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6844f8f400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.groupby('NAME_GOODS_CATEGORY').SELLERPLACE_AREA.plot(kind='hist', legend=True, alpha=.8); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-07-16T12:45:41.146807Z",
     "start_time": "2018-07-16T12:45:40.590954Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_GOODS_CATEGORY</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Additional Service</th>\n",
       "      <td>128.0</td>\n",
       "      <td>82.460938</td>\n",
       "      <td>107.781194</td>\n",
       "      <td>1.0</td>\n",
       "      <td>12.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>100.00</td>\n",
       "      <td>368.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Animals</th>\n",
       "      <td>1.0</td>\n",
       "      <td>60.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>60.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>60.00</td>\n",
       "      <td>60.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Audio/Video</th>\n",
       "      <td>99441.0</td>\n",
       "      <td>1163.803994</td>\n",
       "      <td>1967.153511</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>142.0</td>\n",
       "      <td>600.0</td>\n",
       "      <td>1720.00</td>\n",
       "      <td>49151.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Auto Accessories</th>\n",
       "      <td>7381.0</td>\n",
       "      <td>290.939846</td>\n",
       "      <td>1019.245349</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>44.0</td>\n",
       "      <td>86.0</td>\n",
       "      <td>188.00</td>\n",
       "      <td>30200.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Clothing and Accessories</th>\n",
       "      <td>23554.0</td>\n",
       "      <td>145.235586</td>\n",
       "      <td>334.693911</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>120.00</td>\n",
       "      <td>20000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Computers</th>\n",
       "      <td>105769.0</td>\n",
       "      <td>854.113824</td>\n",
       "      <td>1949.194876</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>59.0</td>\n",
       "      <td>187.0</td>\n",
       "      <td>1200.00</td>\n",
       "      <td>112000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Construction Materials</th>\n",
       "      <td>24995.0</td>\n",
       "      <td>1522.052891</td>\n",
       "      <td>9455.265147</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>22.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>166.00</td>\n",
       "      <td>250000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Consumer Electronics</th>\n",
       "      <td>121576.0</td>\n",
       "      <td>1060.392026</td>\n",
       "      <td>2047.598459</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>136.0</td>\n",
       "      <td>455.0</td>\n",
       "      <td>1511.00</td>\n",
       "      <td>120000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Direct Sales</th>\n",
       "      <td>446.0</td>\n",
       "      <td>94.374439</td>\n",
       "      <td>136.011752</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>100.00</td>\n",
       "      <td>958.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Education</th>\n",
       "      <td>107.0</td>\n",
       "      <td>79.598131</td>\n",
       "      <td>105.472688</td>\n",
       "      <td>20.0</td>\n",
       "      <td>31.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>100.00</td>\n",
       "      <td>878.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fitness</th>\n",
       "      <td>209.0</td>\n",
       "      <td>259.980861</td>\n",
       "      <td>386.253640</td>\n",
       "      <td>10.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>216.00</td>\n",
       "      <td>2542.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Furniture</th>\n",
       "      <td>53656.0</td>\n",
       "      <td>401.910616</td>\n",
       "      <td>1592.019844</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>110.0</td>\n",
       "      <td>286.00</td>\n",
       "      <td>250000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gardening</th>\n",
       "      <td>2668.0</td>\n",
       "      <td>5322.152549</td>\n",
       "      <td>134496.018864</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>89.0</td>\n",
       "      <td>157.00</td>\n",
       "      <td>4000000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Homewares</th>\n",
       "      <td>5023.0</td>\n",
       "      <td>2099.541509</td>\n",
       "      <td>79818.842382</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>80.0</td>\n",
       "      <td>216.00</td>\n",
       "      <td>4000000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>House Construction</th>\n",
       "      <td>1.0</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>10.00</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Insurance</th>\n",
       "      <td>64.0</td>\n",
       "      <td>172.609375</td>\n",
       "      <td>421.295606</td>\n",
       "      <td>4.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>60.00</td>\n",
       "      <td>1470.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Jewelry</th>\n",
       "      <td>6290.0</td>\n",
       "      <td>61.701749</td>\n",
       "      <td>145.981585</td>\n",
       "      <td>1.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>47.0</td>\n",
       "      <td>67.00</td>\n",
       "      <td>8938.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Medical Supplies</th>\n",
       "      <td>3843.0</td>\n",
       "      <td>119.501431</td>\n",
       "      <td>143.355879</td>\n",
       "      <td>1.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>71.0</td>\n",
       "      <td>150.00</td>\n",
       "      <td>1500.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Medicine</th>\n",
       "      <td>1550.0</td>\n",
       "      <td>237.985806</td>\n",
       "      <td>302.380352</td>\n",
       "      <td>5.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>80.0</td>\n",
       "      <td>314.00</td>\n",
       "      <td>1000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Mobile</th>\n",
       "      <td>224708.0</td>\n",
       "      <td>134.064119</td>\n",
       "      <td>870.446163</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>35.0</td>\n",
       "      <td>52.00</td>\n",
       "      <td>256099.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Office Appliances</th>\n",
       "      <td>2333.0</td>\n",
       "      <td>936.955422</td>\n",
       "      <td>1568.325334</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>300.0</td>\n",
       "      <td>1500.00</td>\n",
       "      <td>49151.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Other</th>\n",
       "      <td>2554.0</td>\n",
       "      <td>393.996868</td>\n",
       "      <td>858.306600</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>274.25</td>\n",
       "      <td>9999.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Photo / Cinema Equipment</th>\n",
       "      <td>25021.0</td>\n",
       "      <td>727.027417</td>\n",
       "      <td>1857.096027</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>31.0</td>\n",
       "      <td>69.0</td>\n",
       "      <td>1000.00</td>\n",
       "      <td>49151.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sport and Leisure</th>\n",
       "      <td>2981.0</td>\n",
       "      <td>225.688360</td>\n",
       "      <td>925.080724</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>43.0</td>\n",
       "      <td>97.0</td>\n",
       "      <td>170.00</td>\n",
       "      <td>30200.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Tourism</th>\n",
       "      <td>1659.0</td>\n",
       "      <td>45.936106</td>\n",
       "      <td>97.334801</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>25.0</td>\n",
       "      <td>45.00</td>\n",
       "      <td>1299.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vehicles</th>\n",
       "      <td>3370.0</td>\n",
       "      <td>181.198516</td>\n",
       "      <td>656.017675</td>\n",
       "      <td>1.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>67.0</td>\n",
       "      <td>136.50</td>\n",
       "      <td>14142.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Weapon</th>\n",
       "      <td>77.0</td>\n",
       "      <td>128.714286</td>\n",
       "      <td>216.684822</td>\n",
       "      <td>1.0</td>\n",
       "      <td>30.0</td>\n",
       "      <td>70.0</td>\n",
       "      <td>150.00</td>\n",
       "      <td>1693.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XNA</th>\n",
       "      <td>950809.0</td>\n",
       "      <td>47.575801</td>\n",
       "      <td>553.136267</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>-1.0</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>250000.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                             count         mean            std   min    25%  \\\n",
       "NAME_GOODS_CATEGORY                                                           \n",
       "Additional Service           128.0    82.460938     107.781194   1.0   12.0   \n",
       "Animals                        1.0    60.000000            NaN  60.0   60.0   \n",
       "Audio/Video                99441.0  1163.803994    1967.153511  -1.0  142.0   \n",
       "Auto Accessories            7381.0   290.939846    1019.245349  -1.0   44.0   \n",
       "Clothing and Accessories   23554.0   145.235586     334.693911  -1.0   30.0   \n",
       "Computers                 105769.0   854.113824    1949.194876  -1.0   59.0   \n",
       "Construction Materials     24995.0  1522.052891    9455.265147  -1.0   22.0   \n",
       "Consumer Electronics      121576.0  1060.392026    2047.598459  -1.0  136.0   \n",
       "Direct Sales                 446.0    94.374439     136.011752  -1.0   30.0   \n",
       "Education                    107.0    79.598131     105.472688  20.0   31.0   \n",
       "Fitness                      209.0   259.980861     386.253640  10.0   60.0   \n",
       "Furniture                  53656.0   401.910616    1592.019844  -1.0   50.0   \n",
       "Gardening                   2668.0  5322.152549  134496.018864  -1.0   40.0   \n",
       "Homewares                   5023.0  2099.541509   79818.842382  -1.0   30.0   \n",
       "House Construction             1.0    10.000000            NaN  10.0   10.0   \n",
       "Insurance                     64.0   172.609375     421.295606   4.0   20.0   \n",
       "Jewelry                     6290.0    61.701749     145.981585   1.0   30.0   \n",
       "Medical Supplies            3843.0   119.501431     143.355879   1.0   30.0   \n",
       "Medicine                    1550.0   237.985806     302.380352   5.0   50.0   \n",
       "Mobile                    224708.0   134.064119     870.446163  -1.0   23.0   \n",
       "Office Appliances           2333.0   936.955422    1568.325334  -1.0  100.0   \n",
       "Other                       2554.0   393.996868     858.306600  -1.0   30.0   \n",
       "Photo / Cinema Equipment   25021.0   727.027417    1857.096027  -1.0   31.0   \n",
       "Sport and Leisure           2981.0   225.688360     925.080724  -1.0   43.0   \n",
       "Tourism                     1659.0    45.936106      97.334801  -1.0   16.0   \n",
       "Vehicles                    3370.0   181.198516     656.017675   1.0   30.0   \n",
       "Weapon                        77.0   128.714286     216.684822   1.0   30.0   \n",
       "XNA                       950809.0    47.575801     553.136267  -1.0   -1.0   \n",
       "\n",
       "                            50%      75%        max  \n",
       "NAME_GOODS_CATEGORY                                  \n",
       "Additional Service         30.0   100.00      368.0  \n",
       "Animals                    60.0    60.00       60.0  \n",
       "Audio/Video               600.0  1720.00    49151.0  \n",
       "Auto Accessories           86.0   188.00    30200.0  \n",
       "Clothing and Accessories   60.0   120.00    20000.0  \n",
       "Computers                 187.0  1200.00   112000.0  \n",
       "Construction Materials     50.0   166.00   250000.0  \n",
       "Consumer Electronics      455.0  1511.00   120000.0  \n",
       "Direct Sales               50.0   100.00      958.0  \n",
       "Education                  60.0   100.00      878.0  \n",
       "Fitness                   150.0   216.00     2542.0  \n",
       "Furniture                 110.0   286.00   250000.0  \n",
       "Gardening                  89.0   157.00  4000000.0  \n",
       "Homewares                  80.0   216.00  4000000.0  \n",
       "House Construction         10.0    10.00       10.0  \n",
       "Insurance                  30.0    60.00     1470.0  \n",
       "Jewelry                    47.0    67.00     8938.0  \n",
       "Medical Supplies           71.0   150.00     1500.0  \n",
       "Medicine                   80.0   314.00     1000.0  \n",
       "Mobile                     35.0    52.00   256099.0  \n",
       "Office Appliances         300.0  1500.00    49151.0  \n",
       "Other                      84.0   274.25     9999.0  \n",
       "Photo / Cinema Equipment   69.0  1000.00    49151.0  \n",
       "Sport and Leisure          97.0   170.00    30200.0  \n",
       "Tourism                    25.0    45.00     1299.0  \n",
       "Vehicles                   67.0   136.50    14142.0  \n",
       "Weapon                     70.0   150.00     1693.0  \n",
       "XNA                        -1.0    -1.00   250000.0  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.groupby('NAME_GOODS_CATEGORY').SELLERPLACE_AREA.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 20/20 [00:03<00:00,  5.36it/s]\n"
     ]
    }
   ],
   "source": [
    "train = utils.load_train()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['train'] = 0\n",
    "df.loc[df['SK_ID_CURR'].isin(train.SK_ID_CURR), 'train'] = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df_test = df[df['train']==0]\n",
    "df_train = df[df['train']==1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape: (1413701, 62)\n"
     ]
    },
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>DataType</th>\n",
       "      <th>#Nulls</th>\n",
       "      <th>#Uniques</th>\n",
       "      <th>Min</th>\n",
       "      <th>Mean</th>\n",
       "      <th>Max</th>\n",
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       "      <th>top10 cnt</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>SK_ID_PREV</th>\n",
       "      <td>int64</td>\n",
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       "      <td>1413701</td>\n",
       "      <td>1.000001e+06</td>\n",
       "      <td>1.922744e+06</td>\n",
       "      <td>2.845381e+06</td>\n",
       "      <td>532715.335255</td>\n",
       "      <td>[2099199, 1843921, 1895112, 1893065, 1899210, ...</td>\n",
       "      <td>[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]</td>\n",
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       "    <tr>\n",
       "      <th>SK_ID_CURR</th>\n",
       "      <td>int64</td>\n",
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       "      <td>1.000020e+05</td>\n",
       "      <td>2.784813e+05</td>\n",
       "      <td>4.562550e+05</td>\n",
       "      <td>102811.788043</td>\n",
       "      <td>[265681, 173680, 242412, 206783, 382179, 38995...</td>\n",
       "      <td>[73, 72, 68, 67, 64, 64, 63, 62, 62, 61]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_CONTRACT_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Cash loans', 'Consumer loans', 'Revolving lo...</td>\n",
       "      <td>[626764, 625256, 161368, 313]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_ANNUITY</th>\n",
       "      <td>float64</td>\n",
       "      <td>307218</td>\n",
       "      <td>329537</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.583718e+04</td>\n",
       "      <td>4.180581e+05</td>\n",
       "      <td>14724.906897</td>\n",
       "      <td>[2250.0, 11250.0, 6750.0, 9000.0, 22500.0, 450...</td>\n",
       "      <td>[26361, 12043, 11560, 10602, 10152, 9014, 5767...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_APPLICATION</th>\n",
       "      <td>float64</td>\n",
       "      <td>0</td>\n",
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       "      <td>5.850000e+06</td>\n",
       "      <td>293622.193141</td>\n",
       "      <td>[0.0, 45000.0, 225000.0, 135000.0, 450000.0, 9...</td>\n",
       "      <td>[325302, 40087, 36921, 34905, 32801, 24945, 20...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_CREDIT</th>\n",
       "      <td>float64</td>\n",
       "      <td>1</td>\n",
       "      <td>81730</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.963541e+05</td>\n",
       "      <td>4.509688e+06</td>\n",
       "      <td>319481.250716</td>\n",
       "      <td>[0.0, 45000.0, 225000.0, 450000.0, 135000.0, 1...</td>\n",
       "      <td>[276577, 29128, 17979, 16865, 16142, 14534, 11...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_DOWN_PAYMENT</th>\n",
       "      <td>float64</td>\n",
       "      <td>749540</td>\n",
       "      <td>26863</td>\n",
       "      <td>-9.000000e-01</td>\n",
       "      <td>6.655317e+03</td>\n",
       "      <td>3.060045e+06</td>\n",
       "      <td>20620.300440</td>\n",
       "      <td>[0.0, 4500.0, 9000.0, 13500.0, 22500.0, 6750.0...</td>\n",
       "      <td>[313975, 18466, 12757, 8314, 6909, 6746, 5477,...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_GOODS_PRICE</th>\n",
       "      <td>float64</td>\n",
       "      <td>319525</td>\n",
       "      <td>86766</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>2.264512e+05</td>\n",
       "      <td>5.850000e+06</td>\n",
       "      <td>315937.604200</td>\n",
       "      <td>[45000.0, 225000.0, 135000.0, 450000.0, 90000....</td>\n",
       "      <td>[40087, 36924, 34891, 32817, 24946, 20912, 170...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>WEEKDAY_APPR_PROCESS_START</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['WEDNESDAY', 'TUESDAY', 'MONDAY', 'FRIDAY', '...</td>\n",
       "      <td>[215519, 215058, 214509, 213373, 211005, 20415...</td>\n",
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       "    <tr>\n",
       "      <th>HOUR_APPR_PROCESS_START</th>\n",
       "      <td>int64</td>\n",
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       "      <td>24</td>\n",
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       "      <td>2.300000e+01</td>\n",
       "      <td>3.331474</td>\n",
       "      <td>[11, 12, 10, 13, 14, 15, 9, 16, 17, 8]</td>\n",
       "      <td>[163264, 157528, 153800, 145838, 133621, 12089...</td>\n",
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       "    <tr>\n",
       "      <th>FLAG_LAST_APPL_PER_CONTRACT</th>\n",
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       "      <td>2</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>9.948263e-01</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.071742</td>\n",
       "      <td>[1, 0]</td>\n",
       "      <td>[1406387, 7314]</td>\n",
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       "    <tr>\n",
       "      <th>NFLAG_LAST_APPL_IN_DAY</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
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       "      <td>0.000000e+00</td>\n",
       "      <td>9.964321e-01</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.059626</td>\n",
       "      <td>[1, 0]</td>\n",
       "      <td>[1408657, 5044]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RATE_DOWN_PAYMENT</th>\n",
       "      <td>float64</td>\n",
       "      <td>749540</td>\n",
       "      <td>185078</td>\n",
       "      <td>-1.497876e-05</td>\n",
       "      <td>8.017486e-02</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.107784</td>\n",
       "      <td>[0.0, 0.1089090909090909, 0.2178181818181818, ...</td>\n",
       "      <td>[313975, 31741, 5493, 926, 643, 381, 270, 233,...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RATE_INTEREST_PRIMARY</th>\n",
       "      <td>float64</td>\n",
       "      <td>1408910</td>\n",
       "      <td>136</td>\n",
       "      <td>3.478125e-02</td>\n",
       "      <td>1.894359e-01</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.090849</td>\n",
       "      <td>[0.1891363481808909, 0.14244021307945146, 0.16...</td>\n",
       "      <td>[984, 792, 687, 553, 466, 172, 161, 146, 127, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RATE_INTEREST_PRIVILEGED</th>\n",
       "      <td>float64</td>\n",
       "      <td>1408910</td>\n",
       "      <td>23</td>\n",
       "      <td>3.731501e-01</td>\n",
       "      <td>7.712840e-01</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.100644</td>\n",
       "      <td>[0.8350951374207188, 0.715644820295983, 0.6379...</td>\n",
       "      <td>[1328, 876, 870, 735, 699, 110, 44, 40, 34, 19]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_CASH_LOAN_PURPOSE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XAP', 'XNA', 'Repairs', 'Other', 'Urgent nee...</td>\n",
       "      <td>[786937, 567351, 20117, 13432, 7236, 2469, 234...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_CONTRACT_STATUS</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Approved', 'Canceled', 'Refused', 'Unused of...</td>\n",
       "      <td>[886099, 259441, 245390, 22771]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_DECISION</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>2922</td>\n",
       "      <td>-2.922000e+03</td>\n",
       "      <td>-8.803670e+02</td>\n",
       "      <td>-1.000000e+00</td>\n",
       "      <td>783.540171</td>\n",
       "      <td>[-245, -238, -210, -224, -252, -273, -196, -24...</td>\n",
       "      <td>[2184, 2163, 2103, 2059, 2052, 2031, 2023, 200...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_PAYMENT_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Cash through the bank', 'XNA', 'Non-cash fro...</td>\n",
       "      <td>[882700, 522960, 7100, 941]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CODE_REJECT_REASON</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XAP', 'HC', 'LIMIT', 'SCO', 'CLIENT', 'SCOFR...</td>\n",
       "      <td>[1145533, 145984, 47773, 32636, 22771, 10875, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_TYPE_SUITE</th>\n",
       "      <td>object</td>\n",
       "      <td>694672</td>\n",
       "      <td>7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Unaccompanied', 'Family', 'Spouse, partner',...</td>\n",
       "      <td>[427635, 181880, 57586, 27106, 15073, 7820, 1929]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_CLIENT_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Repeater', 'New', 'Refreshed', 'XNA']</td>\n",
       "      <td>[1037682, 259540, 114936, 1543]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_GOODS_CATEGORY</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XNA', 'Mobile', 'Consumer Electronics', 'Com...</td>\n",
       "      <td>[797209, 193743, 104785, 89923, 85502, 45439, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_PORTFOLIO</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['POS', 'Cash', 'XNA', 'Cards', 'Cars']</td>\n",
       "      <td>[592460, 391663, 307213, 121985, 380]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_PRODUCT_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XNA', 'x-sell', 'walk-in']</td>\n",
       "      <td>[900053, 385394, 128254]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CHANNEL_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Credit and cash offices', 'Country-wide', 'S...</td>\n",
       "      <td>[600342, 423062, 183508, 92472, 58891, 49624, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SELLERPLACE_AREA</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>2077</td>\n",
       "      <td>-1.000000e+00</td>\n",
       "      <td>3.149878e+02</td>\n",
       "      <td>4.000000e+06</td>\n",
       "      <td>7695.081664</td>\n",
       "      <td>[-1, 0, 50, 30, 20, 100, 40, 25, 15, 10]</td>\n",
       "      <td>[636583, 50680, 31699, 29690, 29085, 26211, 20...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_SELLER_INDUSTRY</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XNA', 'Consumer electronics', 'Connectivity'...</td>\n",
       "      <td>[715322, 341701, 238350, 48966, 25417, 19896, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CNT_PAYMENT</th>\n",
       "      <td>float64</td>\n",
       "      <td>307213</td>\n",
       "      <td>48</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.605194e+01</td>\n",
       "      <td>8.400000e+01</td>\n",
       "      <td>14.566746</td>\n",
       "      <td>[12.0, 6.0, 10.0, 0.0, 24.0, 18.0, 36.0, 60.0,...</td>\n",
       "      <td>[275258, 162760, 122546, 121985, 116777, 65532...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_YIELD_GROUP</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XNA', 'middle', 'high', 'low_normal', 'low_a...</td>\n",
       "      <td>[429198, 324971, 306061, 274884, 78587]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PRODUCT_COMBINATION</th>\n",
       "      <td>object</td>\n",
       "      <td>313</td>\n",
       "      <td>17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Cash', 'POS household with interest', 'POS m...</td>\n",
       "      <td>[235101, 226464, 190850, 120036, 110599, 94594...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_FIRST_DRAWING</th>\n",
       "      <td>float64</td>\n",
       "      <td>561106</td>\n",
       "      <td>2799</td>\n",
       "      <td>-2.922000e+03</td>\n",
       "      <td>3.422577e+05</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>88832.266598</td>\n",
       "      <td>[365243.0, -228.0, -224.0, -212.0, -220.0, -22...</td>\n",
       "      <td>[799094, 115, 113, 112, 111, 110, 109, 108, 10...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_FIRST_DUE</th>\n",
       "      <td>float64</td>\n",
       "      <td>561106</td>\n",
       "      <td>2892</td>\n",
       "      <td>-2.892000e+03</td>\n",
       "      <td>1.348874e+04</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>71650.147146</td>\n",
       "      <td>[365243.0, -334.0, -299.0, -208.0, -292.0, -50...</td>\n",
       "      <td>[33962, 661, 653, 650, 647, 643, 643, 636, 633...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_LAST_DUE_1ST_VERSION</th>\n",
       "      <td>float64</td>\n",
       "      <td>561106</td>\n",
       "      <td>4604</td>\n",
       "      <td>-2.801000e+03</td>\n",
       "      <td>3.327483e+04</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>106161.775933</td>\n",
       "      <td>[365243.0, 9.0, 10.0, 0.0, 8.0, 1.0, 5.0, 2.0,...</td>\n",
       "      <td>[79099, 621, 601, 600, 595, 589, 577, 574, 572...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_LAST_DUE</th>\n",
       "      <td>float64</td>\n",
       "      <td>561106</td>\n",
       "      <td>2869</td>\n",
       "      <td>-2.889000e+03</td>\n",
       "      <td>7.666563e+04</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>149704.716371</td>\n",
       "      <td>[365243.0, -239.0, -188.0, -245.0, -236.0, -16...</td>\n",
       "      <td>[180792, 569, 564, 559, 550, 547, 545, 544, 54...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_TERMINATION</th>\n",
       "      <td>float64</td>\n",
       "      <td>561106</td>\n",
       "      <td>2809</td>\n",
       "      <td>-2.874000e+03</td>\n",
       "      <td>8.235317e+04</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>153537.064274</td>\n",
       "      <td>[365243.0, -156.0, -233.0, -170.0, -163.0, -30...</td>\n",
       "      <td>[194000, 653, 652, 641, 638, 635, 631, 631, 63...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NFLAG_INSURED_ON_APPROVAL</th>\n",
       "      <td>float64</td>\n",
       "      <td>561106</td>\n",
       "      <td>2</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>3.305720e-01</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.470419</td>\n",
       "      <td>[0.0, 1.0]</td>\n",
       "      <td>[570751, 281844]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_FIRST_DRAWING_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>1360200</td>\n",
       "      <td>2798</td>\n",
       "      <td>-2.922000e+03</td>\n",
       "      <td>-1.052747e+03</td>\n",
       "      <td>-2.000000e+00</td>\n",
       "      <td>934.925558</td>\n",
       "      <td>[-228.0, -224.0, -212.0, -220.0, -226.0, -235....</td>\n",
       "      <td>[115, 113, 112, 111, 110, 109, 108, 107, 105, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_FIRST_DUE_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>595068</td>\n",
       "      <td>2891</td>\n",
       "      <td>-2.892000e+03</td>\n",
       "      <td>-1.104218e+03</td>\n",
       "      <td>-2.000000e+00</td>\n",
       "      <td>791.788811</td>\n",
       "      <td>[-334.0, -299.0, -208.0, -292.0, -691.0, -509....</td>\n",
       "      <td>[661, 653, 650, 647, 643, 643, 636, 633, 633, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_LAST_DUE_1ST_VERSION_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>640205</td>\n",
       "      <td>4603</td>\n",
       "      <td>-2.801000e+03</td>\n",
       "      <td>-6.727906e+02</td>\n",
       "      <td>2.389000e+03</td>\n",
       "      <td>926.895067</td>\n",
       "      <td>[9.0, 10.0, 0.0, 8.0, 1.0, 5.0, 2.0, -1.0, 6.0...</td>\n",
       "      <td>[621, 601, 600, 595, 589, 577, 574, 572, 567, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_LAST_DUE_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>741898</td>\n",
       "      <td>2868</td>\n",
       "      <td>-2.889000e+03</td>\n",
       "      <td>-9.947493e+02</td>\n",
       "      <td>-2.000000e+00</td>\n",
       "      <td>753.013859</td>\n",
       "      <td>[-239.0, -188.0, -245.0, -236.0, -167.0, -160....</td>\n",
       "      <td>[569, 564, 559, 550, 547, 545, 544, 542, 538, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_TERMINATION_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>755106</td>\n",
       "      <td>2808</td>\n",
       "      <td>-2.874000e+03</td>\n",
       "      <td>-9.766846e+02</td>\n",
       "      <td>-2.000000e+00</td>\n",
       "      <td>749.319423</td>\n",
       "      <td>[-156.0, -233.0, -170.0, -163.0, -305.0, -303....</td>\n",
       "      <td>[653, 652, 641, 638, 635, 631, 631, 630, 630, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_fdue-fdrw</th>\n",
       "      <td>float64</td>\n",
       "      <td>1362158</td>\n",
       "      <td>308</td>\n",
       "      <td>-1.750000e+03</td>\n",
       "      <td>4.326588e+01</td>\n",
       "      <td>1.160000e+03</td>\n",
       "      <td>22.712687</td>\n",
       "      <td>[44.0, 45.0, 42.0, 41.0, 46.0, 43.0, 40.0, 47....</td>\n",
       "      <td>[2429, 2420, 2394, 2351, 2349, 2349, 2176, 217...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue1-fdrw</th>\n",
       "      <td>float64</td>\n",
       "      <td>1413697</td>\n",
       "      <td>3</td>\n",
       "      <td>3.600000e+02</td>\n",
       "      <td>4.950000e+02</td>\n",
       "      <td>7.200000e+02</td>\n",
       "      <td>172.336879</td>\n",
       "      <td>[360.0, 720.0, 540.0]</td>\n",
       "      <td>[2, 1, 1]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue-fdrw</th>\n",
       "      <td>float64</td>\n",
       "      <td>1393069</td>\n",
       "      <td>2529</td>\n",
       "      <td>-1.750000e+03</td>\n",
       "      <td>7.886391e+02</td>\n",
       "      <td>2.850000e+03</td>\n",
       "      <td>632.585961</td>\n",
       "      <td>[73.0, 78.0, 74.0, 105.0, 46.0, 227.0, 169.0, ...</td>\n",
       "      <td>[51, 48, 48, 47, 47, 46, 46, 46, 45, 45]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_trm-fdrw</th>\n",
       "      <td>float64</td>\n",
       "      <td>1406735</td>\n",
       "      <td>2326</td>\n",
       "      <td>-2.900000e+01</td>\n",
       "      <td>1.165311e+03</td>\n",
       "      <td>2.870000e+03</td>\n",
       "      <td>857.962620</td>\n",
       "      <td>[362.0, 180.0, 216.0, 195.0, 234.0, 157.0, 164...</td>\n",
       "      <td>[17, 14, 13, 13, 13, 12, 11, 11, 11, 11]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue1-fdue</th>\n",
       "      <td>float64</td>\n",
       "      <td>646698</td>\n",
       "      <td>300</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>4.271724e+02</td>\n",
       "      <td>2.490000e+03</td>\n",
       "      <td>336.675190</td>\n",
       "      <td>[330.0, 150.0, 270.0, 690.0, 510.0, 1050.0, 21...</td>\n",
       "      <td>[232409, 143638, 107982, 86838, 49962, 34526, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue-fdue</th>\n",
       "      <td>float64</td>\n",
       "      <td>741898</td>\n",
       "      <td>1149</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>2.679508e+02</td>\n",
       "      <td>2.830000e+03</td>\n",
       "      <td>216.700942</td>\n",
       "      <td>[150.0, 330.0, 270.0, 90.0, 120.0, 210.0, 240....</td>\n",
       "      <td>[110468, 107973, 81612, 51446, 38648, 35407, 2...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_trm-fdue</th>\n",
       "      <td>float64</td>\n",
       "      <td>759171</td>\n",
       "      <td>2265</td>\n",
       "      <td>-1.200000e+01</td>\n",
       "      <td>2.730679e+02</td>\n",
       "      <td>2.834000e+03</td>\n",
       "      <td>216.070889</td>\n",
       "      <td>[156.0, 338.0, 155.0, 157.0, 337.0, 336.0, 154...</td>\n",
       "      <td>[15540, 15272, 14965, 14794, 14607, 14150, 138...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue-ldue1</th>\n",
       "      <td>float64</td>\n",
       "      <td>762613</td>\n",
       "      <td>1138</td>\n",
       "      <td>-2.070000e+03</td>\n",
       "      <td>-1.257746e+02</td>\n",
       "      <td>4.000000e+01</td>\n",
       "      <td>257.150482</td>\n",
       "      <td>[0.0, -30.0, -60.0, -90.0, -120.0, -150.0, -18...</td>\n",
       "      <td>[336225, 66659, 37992, 25361, 20529, 19522, 17...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_trm-ldue1</th>\n",
       "      <td>float64</td>\n",
       "      <td>765752</td>\n",
       "      <td>3007</td>\n",
       "      <td>-2.038000e+03</td>\n",
       "      <td>-1.147177e+02</td>\n",
       "      <td>2.529000e+03</td>\n",
       "      <td>265.966693</td>\n",
       "      <td>[6.0, 7.0, 5.0, 8.0, 4.0, 3.0, 2.0, 9.0, -22.0...</td>\n",
       "      <td>[42984, 42094, 41920, 40828, 38703, 36524, 233...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_trm-ldue</th>\n",
       "      <td>float64</td>\n",
       "      <td>759224</td>\n",
       "      <td>1737</td>\n",
       "      <td>-2.900000e+01</td>\n",
       "      <td>1.626059e+01</td>\n",
       "      <td>2.698000e+03</td>\n",
       "      <td>92.930078</td>\n",
       "      <td>[6.0, 5.0, 8.0, 7.0, 4.0, 3.0, 2.0, 9.0, 10.0,...</td>\n",
       "      <td>[83296, 83077, 82871, 82732, 77277, 71789, 466...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_cre-by-app</th>\n",
       "      <td>float64</td>\n",
       "      <td>276577</td>\n",
       "      <td>309827</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>inf</td>\n",
       "      <td>inf</td>\n",
       "      <td>NaN</td>\n",
       "      <td>[1.0, inf, 1.066, 0.9, 1.132, 1.099, 1.198, 1....</td>\n",
       "      <td>[266965, 48725, 34954, 31734, 15966, 14694, 11...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_ann-by-app</th>\n",
       "      <td>float64</td>\n",
       "      <td>308446</td>\n",
       "      <td>466305</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.027563e-01</td>\n",
       "      <td>9.000000e-01</td>\n",
       "      <td>0.057325</td>\n",
       "      <td>[0.05, 0.11, 0.0275, 0.10936, 0.10936022514071...</td>\n",
       "      <td>[114452, 4904, 3118, 1895, 1824, 1814, 1755, 1...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_dwn-by-ann</th>\n",
       "      <td>float64</td>\n",
       "      <td>778252</td>\n",
       "      <td>291364</td>\n",
       "      <td>-1.251549e-04</td>\n",
       "      <td>7.392600e-01</td>\n",
       "      <td>1.386826e+02</td>\n",
       "      <td>1.325569</td>\n",
       "      <td>[0.0, 1.000100010001, 1.1111111111111112, 2.22...</td>\n",
       "      <td>[285264, 598, 338, 308, 267, 127, 123, 120, 93...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_dwn-by-app</th>\n",
       "      <td>float64</td>\n",
       "      <td>749562</td>\n",
       "      <td>109845</td>\n",
       "      <td>-1.375346e-05</td>\n",
       "      <td>7.703475e-02</td>\n",
       "      <td>9.181970e-01</td>\n",
       "      <td>0.102501</td>\n",
       "      <td>[0.0, 0.1, 0.2, 0.3, 0.5, 0.4, 0.1002004008016...</td>\n",
       "      <td>[313953, 75994, 12581, 2719, 1981, 1176, 552, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_dwn-by-cre</th>\n",
       "      <td>float64</td>\n",
       "      <td>749540</td>\n",
       "      <td>185298</td>\n",
       "      <td>-1.375327e-05</td>\n",
       "      <td>9.730074e-02</td>\n",
       "      <td>1.122449e+01</td>\n",
       "      <td>0.180067</td>\n",
       "      <td>[0.0, 0.1111111111111111, 0.25, 0.428571428571...</td>\n",
       "      <td>[313975, 31728, 5493, 923, 643, 380, 270, 233,...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_gds-by-ann</th>\n",
       "      <td>float64</td>\n",
       "      <td>353580</td>\n",
       "      <td>541657</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>inf</td>\n",
       "      <td>inf</td>\n",
       "      <td>NaN</td>\n",
       "      <td>[20.0, 0.0, 9.090909090909092, 34.199726402188...</td>\n",
       "      <td>[68876, 3572, 2186, 2090, 1938, 1848, 1824, 17...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_gds-by-app</th>\n",
       "      <td>float64</td>\n",
       "      <td>325285</td>\n",
       "      <td>72</td>\n",
       "      <td>1.111111e-01</td>\n",
       "      <td>inf</td>\n",
       "      <td>inf</td>\n",
       "      <td>NaN</td>\n",
       "      <td>[1.0, inf, 2.0, 0.5, 3.6363636363636362, 0.666...</td>\n",
       "      <td>[1088211, 17, 13, 11, 9, 8, 7, 7, 6, 6]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_gds-by-cre</th>\n",
       "      <td>float64</td>\n",
       "      <td>321713</td>\n",
       "      <td>309760</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>inf</td>\n",
       "      <td>inf</td>\n",
       "      <td>NaN</td>\n",
       "      <td>[1.0, 0.9380863039399625, 1.1111111111111112, ...</td>\n",
       "      <td>[267084, 34954, 31738, 15966, 14694, 11961, 11...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_dwn-by-gds</th>\n",
       "      <td>float64</td>\n",
       "      <td>749562</td>\n",
       "      <td>109845</td>\n",
       "      <td>-1.375346e-05</td>\n",
       "      <td>7.703475e-02</td>\n",
       "      <td>9.181970e-01</td>\n",
       "      <td>0.102501</td>\n",
       "      <td>[0.0, 0.1, 0.2, 0.3, 0.5, 0.4, 0.1002004008016...</td>\n",
       "      <td>[313953, 75994, 12581, 2719, 1981, 1176, 552, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>train</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>[1]</td>\n",
       "      <td>[1413701]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                         DataType   #Nulls  #Uniques  \\\n",
       "SK_ID_PREV                                  int64        0   1413701   \n",
       "SK_ID_CURR                                  int64        0    291057   \n",
       "NAME_CONTRACT_TYPE                         object        0         4   \n",
       "AMT_ANNUITY                               float64   307218    329537   \n",
       "AMT_APPLICATION                           float64        0     86766   \n",
       "AMT_CREDIT                                float64        1     81730   \n",
       "AMT_DOWN_PAYMENT                          float64   749540     26863   \n",
       "AMT_GOODS_PRICE                           float64   319525     86766   \n",
       "WEEKDAY_APPR_PROCESS_START                 object        0         7   \n",
       "HOUR_APPR_PROCESS_START                     int64        0        24   \n",
       "FLAG_LAST_APPL_PER_CONTRACT                 int64        0         2   \n",
       "NFLAG_LAST_APPL_IN_DAY                      int64        0         2   \n",
       "RATE_DOWN_PAYMENT                         float64   749540    185078   \n",
       "RATE_INTEREST_PRIMARY                     float64  1408910       136   \n",
       "RATE_INTEREST_PRIVILEGED                  float64  1408910        23   \n",
       "NAME_CASH_LOAN_PURPOSE                     object        0        25   \n",
       "NAME_CONTRACT_STATUS                       object        0         4   \n",
       "DAYS_DECISION                               int64        0      2922   \n",
       "NAME_PAYMENT_TYPE                          object        0         4   \n",
       "CODE_REJECT_REASON                         object        0         9   \n",
       "NAME_TYPE_SUITE                            object   694672         7   \n",
       "NAME_CLIENT_TYPE                           object        0         4   \n",
       "NAME_GOODS_CATEGORY                        object        0        27   \n",
       "NAME_PORTFOLIO                             object        0         5   \n",
       "NAME_PRODUCT_TYPE                          object        0         3   \n",
       "CHANNEL_TYPE                               object        0         8   \n",
       "SELLERPLACE_AREA                            int64        0      2077   \n",
       "NAME_SELLER_INDUSTRY                       object        0        11   \n",
       "CNT_PAYMENT                               float64   307213        48   \n",
       "NAME_YIELD_GROUP                           object        0         5   \n",
       "PRODUCT_COMBINATION                        object      313        17   \n",
       "DAYS_FIRST_DRAWING                        float64   561106      2799   \n",
       "DAYS_FIRST_DUE                            float64   561106      2892   \n",
       "DAYS_LAST_DUE_1ST_VERSION                 float64   561106      4604   \n",
       "DAYS_LAST_DUE                             float64   561106      2869   \n",
       "DAYS_TERMINATION                          float64   561106      2809   \n",
       "NFLAG_INSURED_ON_APPROVAL                 float64   561106         2   \n",
       "DAYS_FIRST_DRAWING_without_365243         float64  1360200      2798   \n",
       "DAYS_FIRST_DUE_without_365243             float64   595068      2891   \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243  float64   640205      4603   \n",
       "DAYS_LAST_DUE_without_365243              float64   741898      2868   \n",
       "DAYS_TERMINATION_without_365243           float64   755106      2808   \n",
       "days_fdue-fdrw                            float64  1362158       308   \n",
       "days_ldue1-fdrw                           float64  1413697         3   \n",
       "days_ldue-fdrw                            float64  1393069      2529   \n",
       "days_trm-fdrw                             float64  1406735      2326   \n",
       "days_ldue1-fdue                           float64   646698       300   \n",
       "days_ldue-fdue                            float64   741898      1149   \n",
       "days_trm-fdue                             float64   759171      2265   \n",
       "days_ldue-ldue1                           float64   762613      1138   \n",
       "days_trm-ldue1                            float64   765752      3007   \n",
       "days_trm-ldue                             float64   759224      1737   \n",
       "amt_cre-by-app                            float64   276577    309827   \n",
       "amt_ann-by-app                            float64   308446    466305   \n",
       "amt_dwn-by-ann                            float64   778252    291364   \n",
       "amt_dwn-by-app                            float64   749562    109845   \n",
       "amt_dwn-by-cre                            float64   749540    185298   \n",
       "amt_gds-by-ann                            float64   353580    541657   \n",
       "amt_gds-by-app                            float64   325285        72   \n",
       "amt_gds-by-cre                            float64   321713    309760   \n",
       "amt_dwn-by-gds                            float64   749562    109845   \n",
       "train                                       int64        0         1   \n",
       "\n",
       "                                                   Min          Mean  \\\n",
       "SK_ID_PREV                                1.000001e+06  1.922744e+06   \n",
       "SK_ID_CURR                                1.000020e+05  2.784813e+05   \n",
       "NAME_CONTRACT_TYPE                                 NaN           NaN   \n",
       "AMT_ANNUITY                               0.000000e+00  1.583718e+04   \n",
       "AMT_APPLICATION                           0.000000e+00  1.752436e+05   \n",
       "AMT_CREDIT                                0.000000e+00  1.963541e+05   \n",
       "AMT_DOWN_PAYMENT                         -9.000000e-01  6.655317e+03   \n",
       "AMT_GOODS_PRICE                           0.000000e+00  2.264512e+05   \n",
       "WEEKDAY_APPR_PROCESS_START                         NaN           NaN   \n",
       "HOUR_APPR_PROCESS_START                   0.000000e+00  1.247893e+01   \n",
       "FLAG_LAST_APPL_PER_CONTRACT               0.000000e+00  9.948263e-01   \n",
       "NFLAG_LAST_APPL_IN_DAY                    0.000000e+00  9.964321e-01   \n",
       "RATE_DOWN_PAYMENT                        -1.497876e-05  8.017486e-02   \n",
       "RATE_INTEREST_PRIMARY                     3.478125e-02  1.894359e-01   \n",
       "RATE_INTEREST_PRIVILEGED                  3.731501e-01  7.712840e-01   \n",
       "NAME_CASH_LOAN_PURPOSE                             NaN           NaN   \n",
       "NAME_CONTRACT_STATUS                               NaN           NaN   \n",
       "DAYS_DECISION                            -2.922000e+03 -8.803670e+02   \n",
       "NAME_PAYMENT_TYPE                                  NaN           NaN   \n",
       "CODE_REJECT_REASON                                 NaN           NaN   \n",
       "NAME_TYPE_SUITE                                    NaN           NaN   \n",
       "NAME_CLIENT_TYPE                                   NaN           NaN   \n",
       "NAME_GOODS_CATEGORY                                NaN           NaN   \n",
       "NAME_PORTFOLIO                                     NaN           NaN   \n",
       "NAME_PRODUCT_TYPE                                  NaN           NaN   \n",
       "CHANNEL_TYPE                                       NaN           NaN   \n",
       "SELLERPLACE_AREA                         -1.000000e+00  3.149878e+02   \n",
       "NAME_SELLER_INDUSTRY                               NaN           NaN   \n",
       "CNT_PAYMENT                               0.000000e+00  1.605194e+01   \n",
       "NAME_YIELD_GROUP                                   NaN           NaN   \n",
       "PRODUCT_COMBINATION                                NaN           NaN   \n",
       "DAYS_FIRST_DRAWING                       -2.922000e+03  3.422577e+05   \n",
       "DAYS_FIRST_DUE                           -2.892000e+03  1.348874e+04   \n",
       "DAYS_LAST_DUE_1ST_VERSION                -2.801000e+03  3.327483e+04   \n",
       "DAYS_LAST_DUE                            -2.889000e+03  7.666563e+04   \n",
       "DAYS_TERMINATION                         -2.874000e+03  8.235317e+04   \n",
       "NFLAG_INSURED_ON_APPROVAL                 0.000000e+00  3.305720e-01   \n",
       "DAYS_FIRST_DRAWING_without_365243        -2.922000e+03 -1.052747e+03   \n",
       "DAYS_FIRST_DUE_without_365243            -2.892000e+03 -1.104218e+03   \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243 -2.801000e+03 -6.727906e+02   \n",
       "DAYS_LAST_DUE_without_365243             -2.889000e+03 -9.947493e+02   \n",
       "DAYS_TERMINATION_without_365243          -2.874000e+03 -9.766846e+02   \n",
       "days_fdue-fdrw                           -1.750000e+03  4.326588e+01   \n",
       "days_ldue1-fdrw                           3.600000e+02  4.950000e+02   \n",
       "days_ldue-fdrw                           -1.750000e+03  7.886391e+02   \n",
       "days_trm-fdrw                            -2.900000e+01  1.165311e+03   \n",
       "days_ldue1-fdue                           0.000000e+00  4.271724e+02   \n",
       "days_ldue-fdue                            0.000000e+00  2.679508e+02   \n",
       "days_trm-fdue                            -1.200000e+01  2.730679e+02   \n",
       "days_ldue-ldue1                          -2.070000e+03 -1.257746e+02   \n",
       "days_trm-ldue1                           -2.038000e+03 -1.147177e+02   \n",
       "days_trm-ldue                            -2.900000e+01  1.626059e+01   \n",
       "amt_cre-by-app                            0.000000e+00           inf   \n",
       "amt_ann-by-app                            0.000000e+00  1.027563e-01   \n",
       "amt_dwn-by-ann                           -1.251549e-04  7.392600e-01   \n",
       "amt_dwn-by-app                           -1.375346e-05  7.703475e-02   \n",
       "amt_dwn-by-cre                           -1.375327e-05  9.730074e-02   \n",
       "amt_gds-by-ann                            0.000000e+00           inf   \n",
       "amt_gds-by-app                            1.111111e-01           inf   \n",
       "amt_gds-by-cre                            0.000000e+00           inf   \n",
       "amt_dwn-by-gds                           -1.375346e-05  7.703475e-02   \n",
       "train                                     1.000000e+00  1.000000e+00   \n",
       "\n",
       "                                                   Max            Std  \\\n",
       "SK_ID_PREV                                2.845381e+06  532715.335255   \n",
       "SK_ID_CURR                                4.562550e+05  102811.788043   \n",
       "NAME_CONTRACT_TYPE                                 NaN            NaN   \n",
       "AMT_ANNUITY                               4.180581e+05   14724.906897   \n",
       "AMT_APPLICATION                           5.850000e+06  293622.193141   \n",
       "AMT_CREDIT                                4.509688e+06  319481.250716   \n",
       "AMT_DOWN_PAYMENT                          3.060045e+06   20620.300440   \n",
       "AMT_GOODS_PRICE                           5.850000e+06  315937.604200   \n",
       "WEEKDAY_APPR_PROCESS_START                         NaN            NaN   \n",
       "HOUR_APPR_PROCESS_START                   2.300000e+01       3.331474   \n",
       "FLAG_LAST_APPL_PER_CONTRACT               1.000000e+00       0.071742   \n",
       "NFLAG_LAST_APPL_IN_DAY                    1.000000e+00       0.059626   \n",
       "RATE_DOWN_PAYMENT                         1.000000e+00       0.107784   \n",
       "RATE_INTEREST_PRIMARY                     1.000000e+00       0.090849   \n",
       "RATE_INTEREST_PRIVILEGED                  1.000000e+00       0.100644   \n",
       "NAME_CASH_LOAN_PURPOSE                             NaN            NaN   \n",
       "NAME_CONTRACT_STATUS                               NaN            NaN   \n",
       "DAYS_DECISION                            -1.000000e+00     783.540171   \n",
       "NAME_PAYMENT_TYPE                                  NaN            NaN   \n",
       "CODE_REJECT_REASON                                 NaN            NaN   \n",
       "NAME_TYPE_SUITE                                    NaN            NaN   \n",
       "NAME_CLIENT_TYPE                                   NaN            NaN   \n",
       "NAME_GOODS_CATEGORY                                NaN            NaN   \n",
       "NAME_PORTFOLIO                                     NaN            NaN   \n",
       "NAME_PRODUCT_TYPE                                  NaN            NaN   \n",
       "CHANNEL_TYPE                                       NaN            NaN   \n",
       "SELLERPLACE_AREA                          4.000000e+06    7695.081664   \n",
       "NAME_SELLER_INDUSTRY                               NaN            NaN   \n",
       "CNT_PAYMENT                               8.400000e+01      14.566746   \n",
       "NAME_YIELD_GROUP                                   NaN            NaN   \n",
       "PRODUCT_COMBINATION                                NaN            NaN   \n",
       "DAYS_FIRST_DRAWING                        3.652430e+05   88832.266598   \n",
       "DAYS_FIRST_DUE                            3.652430e+05   71650.147146   \n",
       "DAYS_LAST_DUE_1ST_VERSION                 3.652430e+05  106161.775933   \n",
       "DAYS_LAST_DUE                             3.652430e+05  149704.716371   \n",
       "DAYS_TERMINATION                          3.652430e+05  153537.064274   \n",
       "NFLAG_INSURED_ON_APPROVAL                 1.000000e+00       0.470419   \n",
       "DAYS_FIRST_DRAWING_without_365243        -2.000000e+00     934.925558   \n",
       "DAYS_FIRST_DUE_without_365243            -2.000000e+00     791.788811   \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243  2.389000e+03     926.895067   \n",
       "DAYS_LAST_DUE_without_365243             -2.000000e+00     753.013859   \n",
       "DAYS_TERMINATION_without_365243          -2.000000e+00     749.319423   \n",
       "days_fdue-fdrw                            1.160000e+03      22.712687   \n",
       "days_ldue1-fdrw                           7.200000e+02     172.336879   \n",
       "days_ldue-fdrw                            2.850000e+03     632.585961   \n",
       "days_trm-fdrw                             2.870000e+03     857.962620   \n",
       "days_ldue1-fdue                           2.490000e+03     336.675190   \n",
       "days_ldue-fdue                            2.830000e+03     216.700942   \n",
       "days_trm-fdue                             2.834000e+03     216.070889   \n",
       "days_ldue-ldue1                           4.000000e+01     257.150482   \n",
       "days_trm-ldue1                            2.529000e+03     265.966693   \n",
       "days_trm-ldue                             2.698000e+03      92.930078   \n",
       "amt_cre-by-app                                     inf            NaN   \n",
       "amt_ann-by-app                            9.000000e-01       0.057325   \n",
       "amt_dwn-by-ann                            1.386826e+02       1.325569   \n",
       "amt_dwn-by-app                            9.181970e-01       0.102501   \n",
       "amt_dwn-by-cre                            1.122449e+01       0.180067   \n",
       "amt_gds-by-ann                                     inf            NaN   \n",
       "amt_gds-by-app                                     inf            NaN   \n",
       "amt_gds-by-cre                                     inf            NaN   \n",
       "amt_dwn-by-gds                            9.181970e-01       0.102501   \n",
       "train                                     1.000000e+00       0.000000   \n",
       "\n",
       "                                                                                  top10 val  \\\n",
       "SK_ID_PREV                                [2099199, 1843921, 1895112, 1893065, 1899210, ...   \n",
       "SK_ID_CURR                                [265681, 173680, 242412, 206783, 382179, 38995...   \n",
       "NAME_CONTRACT_TYPE                        ['Cash loans', 'Consumer loans', 'Revolving lo...   \n",
       "AMT_ANNUITY                               [2250.0, 11250.0, 6750.0, 9000.0, 22500.0, 450...   \n",
       "AMT_APPLICATION                           [0.0, 45000.0, 225000.0, 135000.0, 450000.0, 9...   \n",
       "AMT_CREDIT                                [0.0, 45000.0, 225000.0, 450000.0, 135000.0, 1...   \n",
       "AMT_DOWN_PAYMENT                          [0.0, 4500.0, 9000.0, 13500.0, 22500.0, 6750.0...   \n",
       "AMT_GOODS_PRICE                           [45000.0, 225000.0, 135000.0, 450000.0, 90000....   \n",
       "WEEKDAY_APPR_PROCESS_START                ['WEDNESDAY', 'TUESDAY', 'MONDAY', 'FRIDAY', '...   \n",
       "HOUR_APPR_PROCESS_START                              [11, 12, 10, 13, 14, 15, 9, 16, 17, 8]   \n",
       "FLAG_LAST_APPL_PER_CONTRACT                                                          [1, 0]   \n",
       "NFLAG_LAST_APPL_IN_DAY                                                               [1, 0]   \n",
       "RATE_DOWN_PAYMENT                         [0.0, 0.1089090909090909, 0.2178181818181818, ...   \n",
       "RATE_INTEREST_PRIMARY                     [0.1891363481808909, 0.14244021307945146, 0.16...   \n",
       "RATE_INTEREST_PRIVILEGED                  [0.8350951374207188, 0.715644820295983, 0.6379...   \n",
       "NAME_CASH_LOAN_PURPOSE                    ['XAP', 'XNA', 'Repairs', 'Other', 'Urgent nee...   \n",
       "NAME_CONTRACT_STATUS                      ['Approved', 'Canceled', 'Refused', 'Unused of...   \n",
       "DAYS_DECISION                             [-245, -238, -210, -224, -252, -273, -196, -24...   \n",
       "NAME_PAYMENT_TYPE                         ['Cash through the bank', 'XNA', 'Non-cash fro...   \n",
       "CODE_REJECT_REASON                        ['XAP', 'HC', 'LIMIT', 'SCO', 'CLIENT', 'SCOFR...   \n",
       "NAME_TYPE_SUITE                           ['Unaccompanied', 'Family', 'Spouse, partner',...   \n",
       "NAME_CLIENT_TYPE                                    ['Repeater', 'New', 'Refreshed', 'XNA']   \n",
       "NAME_GOODS_CATEGORY                       ['XNA', 'Mobile', 'Consumer Electronics', 'Com...   \n",
       "NAME_PORTFOLIO                                      ['POS', 'Cash', 'XNA', 'Cards', 'Cars']   \n",
       "NAME_PRODUCT_TYPE                                              ['XNA', 'x-sell', 'walk-in']   \n",
       "CHANNEL_TYPE                              ['Credit and cash offices', 'Country-wide', 'S...   \n",
       "SELLERPLACE_AREA                                   [-1, 0, 50, 30, 20, 100, 40, 25, 15, 10]   \n",
       "NAME_SELLER_INDUSTRY                      ['XNA', 'Consumer electronics', 'Connectivity'...   \n",
       "CNT_PAYMENT                               [12.0, 6.0, 10.0, 0.0, 24.0, 18.0, 36.0, 60.0,...   \n",
       "NAME_YIELD_GROUP                          ['XNA', 'middle', 'high', 'low_normal', 'low_a...   \n",
       "PRODUCT_COMBINATION                       ['Cash', 'POS household with interest', 'POS m...   \n",
       "DAYS_FIRST_DRAWING                        [365243.0, -228.0, -224.0, -212.0, -220.0, -22...   \n",
       "DAYS_FIRST_DUE                            [365243.0, -334.0, -299.0, -208.0, -292.0, -50...   \n",
       "DAYS_LAST_DUE_1ST_VERSION                 [365243.0, 9.0, 10.0, 0.0, 8.0, 1.0, 5.0, 2.0,...   \n",
       "DAYS_LAST_DUE                             [365243.0, -239.0, -188.0, -245.0, -236.0, -16...   \n",
       "DAYS_TERMINATION                          [365243.0, -156.0, -233.0, -170.0, -163.0, -30...   \n",
       "NFLAG_INSURED_ON_APPROVAL                                                        [0.0, 1.0]   \n",
       "DAYS_FIRST_DRAWING_without_365243         [-228.0, -224.0, -212.0, -220.0, -226.0, -235....   \n",
       "DAYS_FIRST_DUE_without_365243             [-334.0, -299.0, -208.0, -292.0, -691.0, -509....   \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243  [9.0, 10.0, 0.0, 8.0, 1.0, 5.0, 2.0, -1.0, 6.0...   \n",
       "DAYS_LAST_DUE_without_365243              [-239.0, -188.0, -245.0, -236.0, -167.0, -160....   \n",
       "DAYS_TERMINATION_without_365243           [-156.0, -233.0, -170.0, -163.0, -305.0, -303....   \n",
       "days_fdue-fdrw                            [44.0, 45.0, 42.0, 41.0, 46.0, 43.0, 40.0, 47....   \n",
       "days_ldue1-fdrw                                                       [360.0, 720.0, 540.0]   \n",
       "days_ldue-fdrw                            [73.0, 78.0, 74.0, 105.0, 46.0, 227.0, 169.0, ...   \n",
       "days_trm-fdrw                             [362.0, 180.0, 216.0, 195.0, 234.0, 157.0, 164...   \n",
       "days_ldue1-fdue                           [330.0, 150.0, 270.0, 690.0, 510.0, 1050.0, 21...   \n",
       "days_ldue-fdue                            [150.0, 330.0, 270.0, 90.0, 120.0, 210.0, 240....   \n",
       "days_trm-fdue                             [156.0, 338.0, 155.0, 157.0, 337.0, 336.0, 154...   \n",
       "days_ldue-ldue1                           [0.0, -30.0, -60.0, -90.0, -120.0, -150.0, -18...   \n",
       "days_trm-ldue1                            [6.0, 7.0, 5.0, 8.0, 4.0, 3.0, 2.0, 9.0, -22.0...   \n",
       "days_trm-ldue                             [6.0, 5.0, 8.0, 7.0, 4.0, 3.0, 2.0, 9.0, 10.0,...   \n",
       "amt_cre-by-app                            [1.0, inf, 1.066, 0.9, 1.132, 1.099, 1.198, 1....   \n",
       "amt_ann-by-app                            [0.05, 0.11, 0.0275, 0.10936, 0.10936022514071...   \n",
       "amt_dwn-by-ann                            [0.0, 1.000100010001, 1.1111111111111112, 2.22...   \n",
       "amt_dwn-by-app                            [0.0, 0.1, 0.2, 0.3, 0.5, 0.4, 0.1002004008016...   \n",
       "amt_dwn-by-cre                            [0.0, 0.1111111111111111, 0.25, 0.428571428571...   \n",
       "amt_gds-by-ann                            [20.0, 0.0, 9.090909090909092, 34.199726402188...   \n",
       "amt_gds-by-app                            [1.0, inf, 2.0, 0.5, 3.6363636363636362, 0.666...   \n",
       "amt_gds-by-cre                            [1.0, 0.9380863039399625, 1.1111111111111112, ...   \n",
       "amt_dwn-by-gds                            [0.0, 0.1, 0.2, 0.3, 0.5, 0.4, 0.1002004008016...   \n",
       "train                                                                                   [1]   \n",
       "\n",
       "                                                                                  top10 cnt  \n",
       "SK_ID_PREV                                                   [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]  \n",
       "SK_ID_CURR                                         [73, 72, 68, 67, 64, 64, 63, 62, 62, 61]  \n",
       "NAME_CONTRACT_TYPE                                            [626764, 625256, 161368, 313]  \n",
       "AMT_ANNUITY                               [26361, 12043, 11560, 10602, 10152, 9014, 5767...  \n",
       "AMT_APPLICATION                           [325302, 40087, 36921, 34905, 32801, 24945, 20...  \n",
       "AMT_CREDIT                                [276577, 29128, 17979, 16865, 16142, 14534, 11...  \n",
       "AMT_DOWN_PAYMENT                          [313975, 18466, 12757, 8314, 6909, 6746, 5477,...  \n",
       "AMT_GOODS_PRICE                           [40087, 36924, 34891, 32817, 24946, 20912, 170...  \n",
       "WEEKDAY_APPR_PROCESS_START                [215519, 215058, 214509, 213373, 211005, 20415...  \n",
       "HOUR_APPR_PROCESS_START                   [163264, 157528, 153800, 145838, 133621, 12089...  \n",
       "FLAG_LAST_APPL_PER_CONTRACT                                                 [1406387, 7314]  \n",
       "NFLAG_LAST_APPL_IN_DAY                                                      [1408657, 5044]  \n",
       "RATE_DOWN_PAYMENT                         [313975, 31741, 5493, 926, 643, 381, 270, 233,...  \n",
       "RATE_INTEREST_PRIMARY                     [984, 792, 687, 553, 466, 172, 161, 146, 127, ...  \n",
       "RATE_INTEREST_PRIVILEGED                    [1328, 876, 870, 735, 699, 110, 44, 40, 34, 19]  \n",
       "NAME_CASH_LOAN_PURPOSE                    [786937, 567351, 20117, 13432, 7236, 2469, 234...  \n",
       "NAME_CONTRACT_STATUS                                        [886099, 259441, 245390, 22771]  \n",
       "DAYS_DECISION                             [2184, 2163, 2103, 2059, 2052, 2031, 2023, 200...  \n",
       "NAME_PAYMENT_TYPE                                               [882700, 522960, 7100, 941]  \n",
       "CODE_REJECT_REASON                        [1145533, 145984, 47773, 32636, 22771, 10875, ...  \n",
       "NAME_TYPE_SUITE                           [427635, 181880, 57586, 27106, 15073, 7820, 1929]  \n",
       "NAME_CLIENT_TYPE                                            [1037682, 259540, 114936, 1543]  \n",
       "NAME_GOODS_CATEGORY                       [797209, 193743, 104785, 89923, 85502, 45439, ...  \n",
       "NAME_PORTFOLIO                                        [592460, 391663, 307213, 121985, 380]  \n",
       "NAME_PRODUCT_TYPE                                                  [900053, 385394, 128254]  \n",
       "CHANNEL_TYPE                              [600342, 423062, 183508, 92472, 58891, 49624, ...  \n",
       "SELLERPLACE_AREA                          [636583, 50680, 31699, 29690, 29085, 26211, 20...  \n",
       "NAME_SELLER_INDUSTRY                      [715322, 341701, 238350, 48966, 25417, 19896, ...  \n",
       "CNT_PAYMENT                               [275258, 162760, 122546, 121985, 116777, 65532...  \n",
       "NAME_YIELD_GROUP                                    [429198, 324971, 306061, 274884, 78587]  \n",
       "PRODUCT_COMBINATION                       [235101, 226464, 190850, 120036, 110599, 94594...  \n",
       "DAYS_FIRST_DRAWING                        [799094, 115, 113, 112, 111, 110, 109, 108, 10...  \n",
       "DAYS_FIRST_DUE                            [33962, 661, 653, 650, 647, 643, 643, 636, 633...  \n",
       "DAYS_LAST_DUE_1ST_VERSION                 [79099, 621, 601, 600, 595, 589, 577, 574, 572...  \n",
       "DAYS_LAST_DUE                             [180792, 569, 564, 559, 550, 547, 545, 544, 54...  \n",
       "DAYS_TERMINATION                          [194000, 653, 652, 641, 638, 635, 631, 631, 63...  \n",
       "NFLAG_INSURED_ON_APPROVAL                                                  [570751, 281844]  \n",
       "DAYS_FIRST_DRAWING_without_365243         [115, 113, 112, 111, 110, 109, 108, 107, 105, ...  \n",
       "DAYS_FIRST_DUE_without_365243             [661, 653, 650, 647, 643, 643, 636, 633, 633, ...  \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243  [621, 601, 600, 595, 589, 577, 574, 572, 567, ...  \n",
       "DAYS_LAST_DUE_without_365243              [569, 564, 559, 550, 547, 545, 544, 542, 538, ...  \n",
       "DAYS_TERMINATION_without_365243           [653, 652, 641, 638, 635, 631, 631, 630, 630, ...  \n",
       "days_fdue-fdrw                            [2429, 2420, 2394, 2351, 2349, 2349, 2176, 217...  \n",
       "days_ldue1-fdrw                                                                   [2, 1, 1]  \n",
       "days_ldue-fdrw                                     [51, 48, 48, 47, 47, 46, 46, 46, 45, 45]  \n",
       "days_trm-fdrw                                      [17, 14, 13, 13, 13, 12, 11, 11, 11, 11]  \n",
       "days_ldue1-fdue                           [232409, 143638, 107982, 86838, 49962, 34526, ...  \n",
       "days_ldue-fdue                            [110468, 107973, 81612, 51446, 38648, 35407, 2...  \n",
       "days_trm-fdue                             [15540, 15272, 14965, 14794, 14607, 14150, 138...  \n",
       "days_ldue-ldue1                           [336225, 66659, 37992, 25361, 20529, 19522, 17...  \n",
       "days_trm-ldue1                            [42984, 42094, 41920, 40828, 38703, 36524, 233...  \n",
       "days_trm-ldue                             [83296, 83077, 82871, 82732, 77277, 71789, 466...  \n",
       "amt_cre-by-app                            [266965, 48725, 34954, 31734, 15966, 14694, 11...  \n",
       "amt_ann-by-app                            [114452, 4904, 3118, 1895, 1824, 1814, 1755, 1...  \n",
       "amt_dwn-by-ann                            [285264, 598, 338, 308, 267, 127, 123, 120, 93...  \n",
       "amt_dwn-by-app                            [313953, 75994, 12581, 2719, 1981, 1176, 552, ...  \n",
       "amt_dwn-by-cre                            [313975, 31728, 5493, 923, 643, 380, 270, 233,...  \n",
       "amt_gds-by-ann                            [68876, 3572, 2186, 2090, 1938, 1848, 1824, 17...  \n",
       "amt_gds-by-app                                      [1088211, 17, 13, 11, 9, 8, 7, 7, 6, 6]  \n",
       "amt_gds-by-cre                            [267084, 34954, 31738, 15966, 14694, 11961, 11...  \n",
       "amt_dwn-by-gds                            [313953, 75994, 12581, 2719, 1981, 1176, 552, ...  \n",
       "train                                                                             [1413701]  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EDA.df_info(df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape: (256513, 62)\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>DataType</th>\n",
       "      <th>#Nulls</th>\n",
       "      <th>#Uniques</th>\n",
       "      <th>Min</th>\n",
       "      <th>Mean</th>\n",
       "      <th>Max</th>\n",
       "      <th>Std</th>\n",
       "      <th>top10 val</th>\n",
       "      <th>top10 cnt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>SK_ID_PREV</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>256513</td>\n",
       "      <td>1.000002e+06</td>\n",
       "      <td>1.924989e+06</td>\n",
       "      <td>2.845382e+06</td>\n",
       "      <td>531947.632522</td>\n",
       "      <td>[1574911, 2631763, 2744426, 1177705, 2748520, ...</td>\n",
       "      <td>[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SK_ID_CURR</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>47800</td>\n",
       "      <td>1.000010e+05</td>\n",
       "      <td>2.776732e+05</td>\n",
       "      <td>4.562500e+05</td>\n",
       "      <td>102829.065871</td>\n",
       "      <td>[187868, 156367, 227585, 117425, 166618, 26083...</td>\n",
       "      <td>[77, 66, 60, 46, 44, 44, 44, 44, 43, 43]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_CONTRACT_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Cash loans', 'Consumer loans', 'Revolving lo...</td>\n",
       "      <td>[120789, 103895, 31796, 33]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_ANNUITY</th>\n",
       "      <td>float64</td>\n",
       "      <td>65017</td>\n",
       "      <td>105746</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.663656e+04</td>\n",
       "      <td>4.179276e+05</td>\n",
       "      <td>15090.577021</td>\n",
       "      <td>[2250.0, 11250.0, 9000.0, 6750.0, 22500.0, 450...</td>\n",
       "      <td>[5504, 1931, 1894, 1882, 1751, 1583, 1404, 644...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_APPLICATION</th>\n",
       "      <td>float64</td>\n",
       "      <td>0</td>\n",
       "      <td>35597</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.751802e+05</td>\n",
       "      <td>6.905160e+06</td>\n",
       "      <td>288093.299405</td>\n",
       "      <td>[0.0, 45000.0, 225000.0, 450000.0, 135000.0, 9...</td>\n",
       "      <td>[67100, 7744, 6622, 6104, 5773, 4422, 3825, 34...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_CREDIT</th>\n",
       "      <td>float64</td>\n",
       "      <td>0</td>\n",
       "      <td>45037</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.947910e+05</td>\n",
       "      <td>6.905160e+06</td>\n",
       "      <td>313528.235219</td>\n",
       "      <td>[0.0, 45000.0, 225000.0, 450000.0, 135000.0, 1...</td>\n",
       "      <td>[60191, 5923, 3115, 3089, 2578, 2551, 2021, 18...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_DOWN_PAYMENT</th>\n",
       "      <td>float64</td>\n",
       "      <td>146304</td>\n",
       "      <td>9915</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>6.951022e+03</td>\n",
       "      <td>2.118938e+06</td>\n",
       "      <td>22650.422307</td>\n",
       "      <td>[0.0, 4500.0, 9000.0, 13500.0, 22500.0, 6750.0...</td>\n",
       "      <td>[55879, 2775, 1990, 1341, 1256, 963, 764, 694,...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AMT_GOODS_PRICE</th>\n",
       "      <td>float64</td>\n",
       "      <td>65990</td>\n",
       "      <td>35597</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>2.358650e+05</td>\n",
       "      <td>6.905160e+06</td>\n",
       "      <td>312151.117594</td>\n",
       "      <td>[45000.0, 225000.0, 450000.0, 135000.0, 90000....</td>\n",
       "      <td>[7744, 6625, 6109, 5775, 4421, 3824, 3471, 322...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>WEEKDAY_APPR_PROCESS_START</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['TUESDAY', 'WEDNESDAY', 'MONDAY', 'FRIDAY', '...</td>\n",
       "      <td>[40060, 39491, 39048, 38675, 38094, 36472, 24673]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HOUR_APPR_PROCESS_START</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>24</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.251313e+01</td>\n",
       "      <td>2.300000e+01</td>\n",
       "      <td>3.347928</td>\n",
       "      <td>[11, 12, 10, 13, 14, 15, 9, 16, 17, 8]</td>\n",
       "      <td>[29464, 28452, 27890, 26418, 24090, 22070, 193...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FLAG_LAST_APPL_PER_CONTRACT</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>9.954739e-01</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.067124</td>\n",
       "      <td>[1, 0]</td>\n",
       "      <td>[255352, 1161]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NFLAG_LAST_APPL_IN_DAY</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>9.966629e-01</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.057671</td>\n",
       "      <td>[1, 0]</td>\n",
       "      <td>[255657, 856]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RATE_DOWN_PAYMENT</th>\n",
       "      <td>float64</td>\n",
       "      <td>146304</td>\n",
       "      <td>39879</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>7.639434e-02</td>\n",
       "      <td>9.801818e-01</td>\n",
       "      <td>0.108006</td>\n",
       "      <td>[0.0, 0.1089090909090909, 0.2178181818181818, ...</td>\n",
       "      <td>[55879, 4600, 989, 155, 103, 68, 34, 33, 32, 30]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RATE_INTEREST_PRIMARY</th>\n",
       "      <td>float64</td>\n",
       "      <td>255353</td>\n",
       "      <td>53</td>\n",
       "      <td>5.913521e-02</td>\n",
       "      <td>1.839003e-01</td>\n",
       "      <td>8.613000e-01</td>\n",
       "      <td>0.072962</td>\n",
       "      <td>[0.1891363481808909, 0.14244021307945146, 0.16...</td>\n",
       "      <td>[234, 159, 134, 128, 107, 95, 60, 49, 32, 24]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>RATE_INTEREST_PRIVILEGED</th>\n",
       "      <td>float64</td>\n",
       "      <td>255353</td>\n",
       "      <td>16</td>\n",
       "      <td>3.731501e-01</td>\n",
       "      <td>7.826657e-01</td>\n",
       "      <td>8.673362e-01</td>\n",
       "      <td>0.101373</td>\n",
       "      <td>[0.8350951374207188, 0.8673361522198731, 0.852...</td>\n",
       "      <td>[389, 196, 177, 170, 169, 22, 17, 6, 5, 2]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_CASH_LOAN_PURPOSE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XAP', 'XNA', 'Repairs', 'Other', 'Urgent nee...</td>\n",
       "      <td>[135724, 110567, 3648, 2176, 1176, 419, 364, 3...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_CONTRACT_STATUS</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Approved', 'Canceled', 'Refused', 'Unused of...</td>\n",
       "      <td>[150682, 56878, 45288, 3665]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_DECISION</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>2922</td>\n",
       "      <td>-2.922000e+03</td>\n",
       "      <td>-8.824026e+02</td>\n",
       "      <td>-1.000000e+00</td>\n",
       "      <td>754.157237</td>\n",
       "      <td>[-420, -358, -441, -360, -364, -363, -350, -43...</td>\n",
       "      <td>[398, 378, 373, 371, 367, 365, 364, 360, 358, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_PAYMENT_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Cash through the bank', 'XNA', 'Non-cash fro...</td>\n",
       "      <td>[150852, 104424, 1093, 144]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CODE_REJECT_REASON</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XAP', 'HC', 'LIMIT', 'SCO', 'CLIENT', 'SCOFR...</td>\n",
       "      <td>[207560, 29247, 7907, 4831, 3665, 1936, 866, 4...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_TYPE_SUITE</th>\n",
       "      <td>object</td>\n",
       "      <td>125733</td>\n",
       "      <td>7</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Unaccompanied', 'Family', 'Spouse, partner',...</td>\n",
       "      <td>[81335, 31383, 9483, 4460, 2551, 1257, 311]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_CLIENT_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Repeater', 'New', 'Refreshed', 'XNA']</td>\n",
       "      <td>[193579, 41823, 20713, 398]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_GOODS_CATEGORY</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>27</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XNA', 'Mobile', 'Consumer Electronics', 'Com...</td>\n",
       "      <td>[153600, 30965, 16791, 15846, 13939, 8217, 396...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_PORTFOLIO</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['POS', 'Cash', 'XNA', 'Cards', 'Cars']</td>\n",
       "      <td>[98551, 69900, 65017, 23000, 45]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_PRODUCT_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XNA', 'x-sell', 'walk-in']</td>\n",
       "      <td>[163613, 70893, 22007]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CHANNEL_TYPE</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Credit and cash offices', 'Country-wide', 'S...</td>\n",
       "      <td>[119626, 71628, 28575, 16056, 12406, 7422, 754...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SELLERPLACE_AREA</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>1684</td>\n",
       "      <td>-1.000000e+00</td>\n",
       "      <td>3.082377e+02</td>\n",
       "      <td>2.500000e+05</td>\n",
       "      <td>2104.741865</td>\n",
       "      <td>[-1, 0, 50, 100, 20, 30, 40, 25, 15, 150]</td>\n",
       "      <td>[126092, 9843, 5702, 5198, 4755, 4733, 3518, 2...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_SELLER_INDUSTRY</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>11</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XNA', 'Consumer electronics', 'Connectivity'...</td>\n",
       "      <td>[140398, 56564, 37679, 8883, 4364, 4053, 2627,...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CNT_PAYMENT</th>\n",
       "      <td>float64</td>\n",
       "      <td>65017</td>\n",
       "      <td>40</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.606648e+01</td>\n",
       "      <td>7.200000e+01</td>\n",
       "      <td>14.570451</td>\n",
       "      <td>[12.0, 6.0, 0.0, 24.0, 10.0, 18.0, 36.0, 60.0,...</td>\n",
       "      <td>[47791, 27701, 23000, 20987, 19305, 11898, 117...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NAME_YIELD_GROUP</th>\n",
       "      <td>object</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['XNA', 'middle', 'high', 'low_normal', 'low_a...</td>\n",
       "      <td>[88017, 60561, 47270, 47211, 13454]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PRODUCT_COMBINATION</th>\n",
       "      <td>object</td>\n",
       "      <td>33</td>\n",
       "      <td>17</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>['Cash', 'POS household with interest', 'POS m...</td>\n",
       "      <td>[50889, 37158, 29820, 23847, 19649, 17988, 153...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_FIRST_DRAWING</th>\n",
       "      <td>float64</td>\n",
       "      <td>111959</td>\n",
       "      <td>2177</td>\n",
       "      <td>-2.920000e+03</td>\n",
       "      <td>3.419279e+05</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>89408.856748</td>\n",
       "      <td>[365243.0, -359.0, -329.0, -284.0, -302.0, -39...</td>\n",
       "      <td>[135350, 24, 23, 22, 22, 22, 21, 21, 21, 21]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_FIRST_DUE</th>\n",
       "      <td>float64</td>\n",
       "      <td>111959</td>\n",
       "      <td>2892</td>\n",
       "      <td>-2.892000e+03</td>\n",
       "      <td>1.581704e+04</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>76935.617494</td>\n",
       "      <td>[365243.0, -271.0, -322.0, -733.0, -313.0, -32...</td>\n",
       "      <td>[6683, 129, 123, 121, 120, 120, 117, 117, 117,...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_LAST_DUE_1ST_VERSION</th>\n",
       "      <td>float64</td>\n",
       "      <td>111959</td>\n",
       "      <td>4408</td>\n",
       "      <td>-2.801000e+03</td>\n",
       "      <td>3.667520e+04</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>110824.871546</td>\n",
       "      <td>[365243.0, 5.0, 6.0, 3.0, 2.0, 8.0, 30.0, -2.0...</td>\n",
       "      <td>[14765, 125, 118, 118, 114, 111, 111, 109, 109...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_LAST_DUE</th>\n",
       "      <td>float64</td>\n",
       "      <td>111959</td>\n",
       "      <td>2831</td>\n",
       "      <td>-2.878000e+03</td>\n",
       "      <td>7.609149e+04</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>149308.571846</td>\n",
       "      <td>[365243.0, -371.0, -300.0, -289.0, -370.0, -33...</td>\n",
       "      <td>[30429, 112, 108, 108, 104, 104, 103, 102, 102...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_TERMINATION</th>\n",
       "      <td>float64</td>\n",
       "      <td>111959</td>\n",
       "      <td>2813</td>\n",
       "      <td>-2.865000e+03</td>\n",
       "      <td>7.986414e+04</td>\n",
       "      <td>3.652430e+05</td>\n",
       "      <td>151901.816453</td>\n",
       "      <td>[365243.0, -184.0, -338.0, -324.0, -345.0, -23...</td>\n",
       "      <td>[31913, 146, 139, 137, 134, 134, 133, 133, 132...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>NFLAG_INSURED_ON_APPROVAL</th>\n",
       "      <td>float64</td>\n",
       "      <td>111959</td>\n",
       "      <td>2</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>3.443557e-01</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>0.475159</td>\n",
       "      <td>[0.0, 1.0]</td>\n",
       "      <td>[94776, 49778]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_FIRST_DRAWING_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>247309</td>\n",
       "      <td>2176</td>\n",
       "      <td>-2.920000e+03</td>\n",
       "      <td>-9.335214e+02</td>\n",
       "      <td>-3.000000e+00</td>\n",
       "      <td>841.097153</td>\n",
       "      <td>[-359.0, -329.0, -302.0, -284.0, -394.0, -322....</td>\n",
       "      <td>[24, 23, 22, 22, 22, 21, 21, 21, 21, 21]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_FIRST_DUE_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>118642</td>\n",
       "      <td>2891</td>\n",
       "      <td>-2.892000e+03</td>\n",
       "      <td>-1.120627e+03</td>\n",
       "      <td>-2.000000e+00</td>\n",
       "      <td>784.081546</td>\n",
       "      <td>[-271.0, -322.0, -733.0, -313.0, -320.0, -509....</td>\n",
       "      <td>[129, 123, 121, 120, 120, 117, 117, 117, 115, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_LAST_DUE_1ST_VERSION_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>126724</td>\n",
       "      <td>4407</td>\n",
       "      <td>-2.801000e+03</td>\n",
       "      <td>-7.031874e+02</td>\n",
       "      <td>1.878000e+03</td>\n",
       "      <td>903.287303</td>\n",
       "      <td>[5.0, 6.0, 3.0, 2.0, 30.0, 8.0, -17.0, -2.0, 3...</td>\n",
       "      <td>[125, 118, 118, 114, 111, 111, 109, 109, 107, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_LAST_DUE_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>142388</td>\n",
       "      <td>2830</td>\n",
       "      <td>-2.878000e+03</td>\n",
       "      <td>-1.004596e+03</td>\n",
       "      <td>-2.000000e+00</td>\n",
       "      <td>750.819842</td>\n",
       "      <td>[-371.0, -300.0, -289.0, -370.0, -339.0, -161....</td>\n",
       "      <td>[112, 108, 108, 104, 104, 103, 102, 102, 101, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DAYS_TERMINATION_without_365243</th>\n",
       "      <td>float64</td>\n",
       "      <td>143872</td>\n",
       "      <td>2812</td>\n",
       "      <td>-2.865000e+03</td>\n",
       "      <td>-9.882600e+02</td>\n",
       "      <td>-2.000000e+00</td>\n",
       "      <td>747.977816</td>\n",
       "      <td>[-184.0, -338.0, -324.0, -233.0, -345.0, -358....</td>\n",
       "      <td>[146, 139, 137, 134, 134, 133, 133, 132, 132, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_fdue-fdrw</th>\n",
       "      <td>float64</td>\n",
       "      <td>247672</td>\n",
       "      <td>154</td>\n",
       "      <td>-5.770000e+02</td>\n",
       "      <td>4.322464e+01</td>\n",
       "      <td>7.140000e+02</td>\n",
       "      <td>24.963679</td>\n",
       "      <td>[45.0, 43.0, 40.0, 41.0, 47.0, 42.0, 44.0, 46....</td>\n",
       "      <td>[418, 403, 398, 394, 394, 387, 385, 380, 363, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue1-fdrw</th>\n",
       "      <td>float64</td>\n",
       "      <td>256512</td>\n",
       "      <td>1</td>\n",
       "      <td>7.200000e+02</td>\n",
       "      <td>7.200000e+02</td>\n",
       "      <td>7.200000e+02</td>\n",
       "      <td>NaN</td>\n",
       "      <td>[720.0]</td>\n",
       "      <td>[1]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue-fdrw</th>\n",
       "      <td>float64</td>\n",
       "      <td>253226</td>\n",
       "      <td>1412</td>\n",
       "      <td>-5.100000e+01</td>\n",
       "      <td>6.566024e+02</td>\n",
       "      <td>2.741000e+03</td>\n",
       "      <td>583.090686</td>\n",
       "      <td>[48.0, 164.0, 45.0, 46.0, 41.0, 108.0, 222.0, ...</td>\n",
       "      <td>[13, 13, 12, 12, 12, 11, 10, 10, 10, 10]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_trm-fdrw</th>\n",
       "      <td>float64</td>\n",
       "      <td>255127</td>\n",
       "      <td>971</td>\n",
       "      <td>-1.800000e+01</td>\n",
       "      <td>9.305902e+02</td>\n",
       "      <td>2.880000e+03</td>\n",
       "      <td>795.025530</td>\n",
       "      <td>[14.0, 101.0, 253.0, 1884.0, 184.0, 57.0, 187....</td>\n",
       "      <td>[10, 6, 5, 5, 4, 4, 4, 4, 4, 4]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue1-fdue</th>\n",
       "      <td>float64</td>\n",
       "      <td>127495</td>\n",
       "      <td>223</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>4.257910e+02</td>\n",
       "      <td>2.130000e+03</td>\n",
       "      <td>328.328008</td>\n",
       "      <td>[330.0, 150.0, 270.0, 690.0, 510.0, 1050.0, 21...</td>\n",
       "      <td>[40269, 24372, 16787, 15274, 8949, 5901, 3757,...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue-fdue</th>\n",
       "      <td>float64</td>\n",
       "      <td>142388</td>\n",
       "      <td>767</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>2.669741e+02</td>\n",
       "      <td>2.679000e+03</td>\n",
       "      <td>209.689388</td>\n",
       "      <td>[150.0, 330.0, 270.0, 90.0, 120.0, 210.0, 300....</td>\n",
       "      <td>[18356, 18112, 12369, 8860, 6761, 5772, 4619, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_trm-fdue</th>\n",
       "      <td>float64</td>\n",
       "      <td>144860</td>\n",
       "      <td>1378</td>\n",
       "      <td>-1.500000e+01</td>\n",
       "      <td>2.734572e+02</td>\n",
       "      <td>2.836000e+03</td>\n",
       "      <td>213.262552</td>\n",
       "      <td>[156.0, 338.0, 157.0, 155.0, 337.0, 336.0, 154...</td>\n",
       "      <td>[2663, 2623, 2558, 2482, 2440, 2345, 2307, 219...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_ldue-ldue1</th>\n",
       "      <td>float64</td>\n",
       "      <td>145684</td>\n",
       "      <td>590</td>\n",
       "      <td>-2.130000e+03</td>\n",
       "      <td>-1.318576e+02</td>\n",
       "      <td>3.000000e+01</td>\n",
       "      <td>262.423237</td>\n",
       "      <td>[0.0, -30.0, -60.0, -90.0, -120.0, -150.0, -24...</td>\n",
       "      <td>[54576, 11482, 6761, 4511, 3678, 3469, 3125, 3...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_trm-ldue1</th>\n",
       "      <td>float64</td>\n",
       "      <td>146150</td>\n",
       "      <td>1735</td>\n",
       "      <td>-2.123000e+03</td>\n",
       "      <td>-1.228796e+02</td>\n",
       "      <td>2.202000e+03</td>\n",
       "      <td>268.023973</td>\n",
       "      <td>[6.0, 7.0, 8.0, 5.0, 4.0, 3.0, 2.0, 9.0, -22.0...</td>\n",
       "      <td>[7192, 7058, 6896, 6882, 6384, 6375, 4228, 286...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>days_trm-ldue</th>\n",
       "      <td>float64</td>\n",
       "      <td>144866</td>\n",
       "      <td>830</td>\n",
       "      <td>-2.400000e+01</td>\n",
       "      <td>1.370341e+01</td>\n",
       "      <td>2.418000e+03</td>\n",
       "      <td>81.070017</td>\n",
       "      <td>[6.0, 8.0, 5.0, 7.0, 4.0, 3.0, 2.0, 9.0, 10.0,...</td>\n",
       "      <td>[14636, 14432, 14430, 14386, 13452, 12852, 883...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_cre-by-app</th>\n",
       "      <td>float64</td>\n",
       "      <td>60191</td>\n",
       "      <td>68402</td>\n",
       "      <td>5.882353e-02</td>\n",
       "      <td>inf</td>\n",
       "      <td>inf</td>\n",
       "      <td>NaN</td>\n",
       "      <td>[1.0, inf, 1.066, 0.9, 1.132, 1.198, 1.099, 1....</td>\n",
       "      <td>[51154, 6909, 5978, 4599, 3065, 2507, 2439, 19...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_ann-by-app</th>\n",
       "      <td>float64</td>\n",
       "      <td>65413</td>\n",
       "      <td>107696</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.005370e-01</td>\n",
       "      <td>3.712055e-01</td>\n",
       "      <td>0.056303</td>\n",
       "      <td>[0.05, 0.11, 0.0275, 0.10936022514071295, 0.10...</td>\n",
       "      <td>[21559, 746, 481, 334, 322, 315, 275, 252, 251...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_dwn-by-ann</th>\n",
       "      <td>float64</td>\n",
       "      <td>150981</td>\n",
       "      <td>51366</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>7.168581e-01</td>\n",
       "      <td>6.572598e+01</td>\n",
       "      <td>1.325196</td>\n",
       "      <td>[0.0, 1.000100010001, 1.1111111111111112, 1.00...</td>\n",
       "      <td>[51202, 80, 46, 40, 37, 19, 16, 15, 14, 11]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_dwn-by-app</th>\n",
       "      <td>float64</td>\n",
       "      <td>146307</td>\n",
       "      <td>26798</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>7.343952e-02</td>\n",
       "      <td>9.000000e-01</td>\n",
       "      <td>0.102833</td>\n",
       "      <td>[0.0, 0.1, 0.2, 0.3, 0.5, 0.4, 0.1002004008016...</td>\n",
       "      <td>[55876, 11497, 2229, 465, 341, 201, 91, 73, 59...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_dwn-by-cre</th>\n",
       "      <td>float64</td>\n",
       "      <td>146304</td>\n",
       "      <td>39889</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>9.335310e-02</td>\n",
       "      <td>9.000000e+00</td>\n",
       "      <td>0.184255</td>\n",
       "      <td>[0.0, 0.1111111111111111, 0.25, 0.428571428571...</td>\n",
       "      <td>[55879, 4594, 989, 155, 103, 68, 34, 33, 32, 30]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_gds-by-ann</th>\n",
       "      <td>float64</td>\n",
       "      <td>71752</td>\n",
       "      <td>113357</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.276806e+01</td>\n",
       "      <td>3.400000e+02</td>\n",
       "      <td>7.819255</td>\n",
       "      <td>[20.0, 0.0, 34.19972640218878, 8.5779478117655...</td>\n",
       "      <td>[14999, 569, 382, 334, 330, 321, 280, 275, 256...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_gds-by-app</th>\n",
       "      <td>float64</td>\n",
       "      <td>67099</td>\n",
       "      <td>19</td>\n",
       "      <td>1.333333e-01</td>\n",
       "      <td>inf</td>\n",
       "      <td>inf</td>\n",
       "      <td>NaN</td>\n",
       "      <td>[1.0, 1.1111111111111112, 0.8333333333333334, ...</td>\n",
       "      <td>[189387, 4, 3, 2, 2, 2, 2, 1, 1, 1]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_gds-by-cre</th>\n",
       "      <td>float64</td>\n",
       "      <td>66530</td>\n",
       "      <td>68394</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>9.868282e-01</td>\n",
       "      <td>1.700000e+01</td>\n",
       "      <td>0.214300</td>\n",
       "      <td>[1.0, 0.9380863039399625, 1.1111111111111112, ...</td>\n",
       "      <td>[51173, 5978, 4602, 3065, 2507, 2439, 1969, 13...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amt_dwn-by-gds</th>\n",
       "      <td>float64</td>\n",
       "      <td>146307</td>\n",
       "      <td>26798</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>7.343952e-02</td>\n",
       "      <td>9.000000e-01</td>\n",
       "      <td>0.102833</td>\n",
       "      <td>[0.0, 0.1, 0.2, 0.3, 0.5, 0.4, 0.1002004008016...</td>\n",
       "      <td>[55876, 11497, 2229, 465, 341, 201, 91, 73, 59...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>train</th>\n",
       "      <td>int64</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>[0]</td>\n",
       "      <td>[256513]</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                         DataType  #Nulls  #Uniques  \\\n",
       "SK_ID_PREV                                  int64       0    256513   \n",
       "SK_ID_CURR                                  int64       0     47800   \n",
       "NAME_CONTRACT_TYPE                         object       0         4   \n",
       "AMT_ANNUITY                               float64   65017    105746   \n",
       "AMT_APPLICATION                           float64       0     35597   \n",
       "AMT_CREDIT                                float64       0     45037   \n",
       "AMT_DOWN_PAYMENT                          float64  146304      9915   \n",
       "AMT_GOODS_PRICE                           float64   65990     35597   \n",
       "WEEKDAY_APPR_PROCESS_START                 object       0         7   \n",
       "HOUR_APPR_PROCESS_START                     int64       0        24   \n",
       "FLAG_LAST_APPL_PER_CONTRACT                 int64       0         2   \n",
       "NFLAG_LAST_APPL_IN_DAY                      int64       0         2   \n",
       "RATE_DOWN_PAYMENT                         float64  146304     39879   \n",
       "RATE_INTEREST_PRIMARY                     float64  255353        53   \n",
       "RATE_INTEREST_PRIVILEGED                  float64  255353        16   \n",
       "NAME_CASH_LOAN_PURPOSE                     object       0        25   \n",
       "NAME_CONTRACT_STATUS                       object       0         4   \n",
       "DAYS_DECISION                               int64       0      2922   \n",
       "NAME_PAYMENT_TYPE                          object       0         4   \n",
       "CODE_REJECT_REASON                         object       0         9   \n",
       "NAME_TYPE_SUITE                            object  125733         7   \n",
       "NAME_CLIENT_TYPE                           object       0         4   \n",
       "NAME_GOODS_CATEGORY                        object       0        27   \n",
       "NAME_PORTFOLIO                             object       0         5   \n",
       "NAME_PRODUCT_TYPE                          object       0         3   \n",
       "CHANNEL_TYPE                               object       0         8   \n",
       "SELLERPLACE_AREA                            int64       0      1684   \n",
       "NAME_SELLER_INDUSTRY                       object       0        11   \n",
       "CNT_PAYMENT                               float64   65017        40   \n",
       "NAME_YIELD_GROUP                           object       0         5   \n",
       "PRODUCT_COMBINATION                        object      33        17   \n",
       "DAYS_FIRST_DRAWING                        float64  111959      2177   \n",
       "DAYS_FIRST_DUE                            float64  111959      2892   \n",
       "DAYS_LAST_DUE_1ST_VERSION                 float64  111959      4408   \n",
       "DAYS_LAST_DUE                             float64  111959      2831   \n",
       "DAYS_TERMINATION                          float64  111959      2813   \n",
       "NFLAG_INSURED_ON_APPROVAL                 float64  111959         2   \n",
       "DAYS_FIRST_DRAWING_without_365243         float64  247309      2176   \n",
       "DAYS_FIRST_DUE_without_365243             float64  118642      2891   \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243  float64  126724      4407   \n",
       "DAYS_LAST_DUE_without_365243              float64  142388      2830   \n",
       "DAYS_TERMINATION_without_365243           float64  143872      2812   \n",
       "days_fdue-fdrw                            float64  247672       154   \n",
       "days_ldue1-fdrw                           float64  256512         1   \n",
       "days_ldue-fdrw                            float64  253226      1412   \n",
       "days_trm-fdrw                             float64  255127       971   \n",
       "days_ldue1-fdue                           float64  127495       223   \n",
       "days_ldue-fdue                            float64  142388       767   \n",
       "days_trm-fdue                             float64  144860      1378   \n",
       "days_ldue-ldue1                           float64  145684       590   \n",
       "days_trm-ldue1                            float64  146150      1735   \n",
       "days_trm-ldue                             float64  144866       830   \n",
       "amt_cre-by-app                            float64   60191     68402   \n",
       "amt_ann-by-app                            float64   65413    107696   \n",
       "amt_dwn-by-ann                            float64  150981     51366   \n",
       "amt_dwn-by-app                            float64  146307     26798   \n",
       "amt_dwn-by-cre                            float64  146304     39889   \n",
       "amt_gds-by-ann                            float64   71752    113357   \n",
       "amt_gds-by-app                            float64   67099        19   \n",
       "amt_gds-by-cre                            float64   66530     68394   \n",
       "amt_dwn-by-gds                            float64  146307     26798   \n",
       "train                                       int64       0         1   \n",
       "\n",
       "                                                   Min          Mean  \\\n",
       "SK_ID_PREV                                1.000002e+06  1.924989e+06   \n",
       "SK_ID_CURR                                1.000010e+05  2.776732e+05   \n",
       "NAME_CONTRACT_TYPE                                 NaN           NaN   \n",
       "AMT_ANNUITY                               0.000000e+00  1.663656e+04   \n",
       "AMT_APPLICATION                           0.000000e+00  1.751802e+05   \n",
       "AMT_CREDIT                                0.000000e+00  1.947910e+05   \n",
       "AMT_DOWN_PAYMENT                          0.000000e+00  6.951022e+03   \n",
       "AMT_GOODS_PRICE                           0.000000e+00  2.358650e+05   \n",
       "WEEKDAY_APPR_PROCESS_START                         NaN           NaN   \n",
       "HOUR_APPR_PROCESS_START                   0.000000e+00  1.251313e+01   \n",
       "FLAG_LAST_APPL_PER_CONTRACT               0.000000e+00  9.954739e-01   \n",
       "NFLAG_LAST_APPL_IN_DAY                    0.000000e+00  9.966629e-01   \n",
       "RATE_DOWN_PAYMENT                         0.000000e+00  7.639434e-02   \n",
       "RATE_INTEREST_PRIMARY                     5.913521e-02  1.839003e-01   \n",
       "RATE_INTEREST_PRIVILEGED                  3.731501e-01  7.826657e-01   \n",
       "NAME_CASH_LOAN_PURPOSE                             NaN           NaN   \n",
       "NAME_CONTRACT_STATUS                               NaN           NaN   \n",
       "DAYS_DECISION                            -2.922000e+03 -8.824026e+02   \n",
       "NAME_PAYMENT_TYPE                                  NaN           NaN   \n",
       "CODE_REJECT_REASON                                 NaN           NaN   \n",
       "NAME_TYPE_SUITE                                    NaN           NaN   \n",
       "NAME_CLIENT_TYPE                                   NaN           NaN   \n",
       "NAME_GOODS_CATEGORY                                NaN           NaN   \n",
       "NAME_PORTFOLIO                                     NaN           NaN   \n",
       "NAME_PRODUCT_TYPE                                  NaN           NaN   \n",
       "CHANNEL_TYPE                                       NaN           NaN   \n",
       "SELLERPLACE_AREA                         -1.000000e+00  3.082377e+02   \n",
       "NAME_SELLER_INDUSTRY                               NaN           NaN   \n",
       "CNT_PAYMENT                               0.000000e+00  1.606648e+01   \n",
       "NAME_YIELD_GROUP                                   NaN           NaN   \n",
       "PRODUCT_COMBINATION                                NaN           NaN   \n",
       "DAYS_FIRST_DRAWING                       -2.920000e+03  3.419279e+05   \n",
       "DAYS_FIRST_DUE                           -2.892000e+03  1.581704e+04   \n",
       "DAYS_LAST_DUE_1ST_VERSION                -2.801000e+03  3.667520e+04   \n",
       "DAYS_LAST_DUE                            -2.878000e+03  7.609149e+04   \n",
       "DAYS_TERMINATION                         -2.865000e+03  7.986414e+04   \n",
       "NFLAG_INSURED_ON_APPROVAL                 0.000000e+00  3.443557e-01   \n",
       "DAYS_FIRST_DRAWING_without_365243        -2.920000e+03 -9.335214e+02   \n",
       "DAYS_FIRST_DUE_without_365243            -2.892000e+03 -1.120627e+03   \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243 -2.801000e+03 -7.031874e+02   \n",
       "DAYS_LAST_DUE_without_365243             -2.878000e+03 -1.004596e+03   \n",
       "DAYS_TERMINATION_without_365243          -2.865000e+03 -9.882600e+02   \n",
       "days_fdue-fdrw                           -5.770000e+02  4.322464e+01   \n",
       "days_ldue1-fdrw                           7.200000e+02  7.200000e+02   \n",
       "days_ldue-fdrw                           -5.100000e+01  6.566024e+02   \n",
       "days_trm-fdrw                            -1.800000e+01  9.305902e+02   \n",
       "days_ldue1-fdue                           0.000000e+00  4.257910e+02   \n",
       "days_ldue-fdue                            0.000000e+00  2.669741e+02   \n",
       "days_trm-fdue                            -1.500000e+01  2.734572e+02   \n",
       "days_ldue-ldue1                          -2.130000e+03 -1.318576e+02   \n",
       "days_trm-ldue1                           -2.123000e+03 -1.228796e+02   \n",
       "days_trm-ldue                            -2.400000e+01  1.370341e+01   \n",
       "amt_cre-by-app                            5.882353e-02           inf   \n",
       "amt_ann-by-app                            0.000000e+00  1.005370e-01   \n",
       "amt_dwn-by-ann                            0.000000e+00  7.168581e-01   \n",
       "amt_dwn-by-app                            0.000000e+00  7.343952e-02   \n",
       "amt_dwn-by-cre                            0.000000e+00  9.335310e-02   \n",
       "amt_gds-by-ann                            0.000000e+00  1.276806e+01   \n",
       "amt_gds-by-app                            1.333333e-01           inf   \n",
       "amt_gds-by-cre                            0.000000e+00  9.868282e-01   \n",
       "amt_dwn-by-gds                            0.000000e+00  7.343952e-02   \n",
       "train                                     0.000000e+00  0.000000e+00   \n",
       "\n",
       "                                                   Max            Std  \\\n",
       "SK_ID_PREV                                2.845382e+06  531947.632522   \n",
       "SK_ID_CURR                                4.562500e+05  102829.065871   \n",
       "NAME_CONTRACT_TYPE                                 NaN            NaN   \n",
       "AMT_ANNUITY                               4.179276e+05   15090.577021   \n",
       "AMT_APPLICATION                           6.905160e+06  288093.299405   \n",
       "AMT_CREDIT                                6.905160e+06  313528.235219   \n",
       "AMT_DOWN_PAYMENT                          2.118938e+06   22650.422307   \n",
       "AMT_GOODS_PRICE                           6.905160e+06  312151.117594   \n",
       "WEEKDAY_APPR_PROCESS_START                         NaN            NaN   \n",
       "HOUR_APPR_PROCESS_START                   2.300000e+01       3.347928   \n",
       "FLAG_LAST_APPL_PER_CONTRACT               1.000000e+00       0.067124   \n",
       "NFLAG_LAST_APPL_IN_DAY                    1.000000e+00       0.057671   \n",
       "RATE_DOWN_PAYMENT                         9.801818e-01       0.108006   \n",
       "RATE_INTEREST_PRIMARY                     8.613000e-01       0.072962   \n",
       "RATE_INTEREST_PRIVILEGED                  8.673362e-01       0.101373   \n",
       "NAME_CASH_LOAN_PURPOSE                             NaN            NaN   \n",
       "NAME_CONTRACT_STATUS                               NaN            NaN   \n",
       "DAYS_DECISION                            -1.000000e+00     754.157237   \n",
       "NAME_PAYMENT_TYPE                                  NaN            NaN   \n",
       "CODE_REJECT_REASON                                 NaN            NaN   \n",
       "NAME_TYPE_SUITE                                    NaN            NaN   \n",
       "NAME_CLIENT_TYPE                                   NaN            NaN   \n",
       "NAME_GOODS_CATEGORY                                NaN            NaN   \n",
       "NAME_PORTFOLIO                                     NaN            NaN   \n",
       "NAME_PRODUCT_TYPE                                  NaN            NaN   \n",
       "CHANNEL_TYPE                                       NaN            NaN   \n",
       "SELLERPLACE_AREA                          2.500000e+05    2104.741865   \n",
       "NAME_SELLER_INDUSTRY                               NaN            NaN   \n",
       "CNT_PAYMENT                               7.200000e+01      14.570451   \n",
       "NAME_YIELD_GROUP                                   NaN            NaN   \n",
       "PRODUCT_COMBINATION                                NaN            NaN   \n",
       "DAYS_FIRST_DRAWING                        3.652430e+05   89408.856748   \n",
       "DAYS_FIRST_DUE                            3.652430e+05   76935.617494   \n",
       "DAYS_LAST_DUE_1ST_VERSION                 3.652430e+05  110824.871546   \n",
       "DAYS_LAST_DUE                             3.652430e+05  149308.571846   \n",
       "DAYS_TERMINATION                          3.652430e+05  151901.816453   \n",
       "NFLAG_INSURED_ON_APPROVAL                 1.000000e+00       0.475159   \n",
       "DAYS_FIRST_DRAWING_without_365243        -3.000000e+00     841.097153   \n",
       "DAYS_FIRST_DUE_without_365243            -2.000000e+00     784.081546   \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243  1.878000e+03     903.287303   \n",
       "DAYS_LAST_DUE_without_365243             -2.000000e+00     750.819842   \n",
       "DAYS_TERMINATION_without_365243          -2.000000e+00     747.977816   \n",
       "days_fdue-fdrw                            7.140000e+02      24.963679   \n",
       "days_ldue1-fdrw                           7.200000e+02            NaN   \n",
       "days_ldue-fdrw                            2.741000e+03     583.090686   \n",
       "days_trm-fdrw                             2.880000e+03     795.025530   \n",
       "days_ldue1-fdue                           2.130000e+03     328.328008   \n",
       "days_ldue-fdue                            2.679000e+03     209.689388   \n",
       "days_trm-fdue                             2.836000e+03     213.262552   \n",
       "days_ldue-ldue1                           3.000000e+01     262.423237   \n",
       "days_trm-ldue1                            2.202000e+03     268.023973   \n",
       "days_trm-ldue                             2.418000e+03      81.070017   \n",
       "amt_cre-by-app                                     inf            NaN   \n",
       "amt_ann-by-app                            3.712055e-01       0.056303   \n",
       "amt_dwn-by-ann                            6.572598e+01       1.325196   \n",
       "amt_dwn-by-app                            9.000000e-01       0.102833   \n",
       "amt_dwn-by-cre                            9.000000e+00       0.184255   \n",
       "amt_gds-by-ann                            3.400000e+02       7.819255   \n",
       "amt_gds-by-app                                     inf            NaN   \n",
       "amt_gds-by-cre                            1.700000e+01       0.214300   \n",
       "amt_dwn-by-gds                            9.000000e-01       0.102833   \n",
       "train                                     0.000000e+00       0.000000   \n",
       "\n",
       "                                                                                  top10 val  \\\n",
       "SK_ID_PREV                                [1574911, 2631763, 2744426, 1177705, 2748520, ...   \n",
       "SK_ID_CURR                                [187868, 156367, 227585, 117425, 166618, 26083...   \n",
       "NAME_CONTRACT_TYPE                        ['Cash loans', 'Consumer loans', 'Revolving lo...   \n",
       "AMT_ANNUITY                               [2250.0, 11250.0, 9000.0, 6750.0, 22500.0, 450...   \n",
       "AMT_APPLICATION                           [0.0, 45000.0, 225000.0, 450000.0, 135000.0, 9...   \n",
       "AMT_CREDIT                                [0.0, 45000.0, 225000.0, 450000.0, 135000.0, 1...   \n",
       "AMT_DOWN_PAYMENT                          [0.0, 4500.0, 9000.0, 13500.0, 22500.0, 6750.0...   \n",
       "AMT_GOODS_PRICE                           [45000.0, 225000.0, 450000.0, 135000.0, 90000....   \n",
       "WEEKDAY_APPR_PROCESS_START                ['TUESDAY', 'WEDNESDAY', 'MONDAY', 'FRIDAY', '...   \n",
       "HOUR_APPR_PROCESS_START                              [11, 12, 10, 13, 14, 15, 9, 16, 17, 8]   \n",
       "FLAG_LAST_APPL_PER_CONTRACT                                                          [1, 0]   \n",
       "NFLAG_LAST_APPL_IN_DAY                                                               [1, 0]   \n",
       "RATE_DOWN_PAYMENT                         [0.0, 0.1089090909090909, 0.2178181818181818, ...   \n",
       "RATE_INTEREST_PRIMARY                     [0.1891363481808909, 0.14244021307945146, 0.16...   \n",
       "RATE_INTEREST_PRIVILEGED                  [0.8350951374207188, 0.8673361522198731, 0.852...   \n",
       "NAME_CASH_LOAN_PURPOSE                    ['XAP', 'XNA', 'Repairs', 'Other', 'Urgent nee...   \n",
       "NAME_CONTRACT_STATUS                      ['Approved', 'Canceled', 'Refused', 'Unused of...   \n",
       "DAYS_DECISION                             [-420, -358, -441, -360, -364, -363, -350, -43...   \n",
       "NAME_PAYMENT_TYPE                         ['Cash through the bank', 'XNA', 'Non-cash fro...   \n",
       "CODE_REJECT_REASON                        ['XAP', 'HC', 'LIMIT', 'SCO', 'CLIENT', 'SCOFR...   \n",
       "NAME_TYPE_SUITE                           ['Unaccompanied', 'Family', 'Spouse, partner',...   \n",
       "NAME_CLIENT_TYPE                                    ['Repeater', 'New', 'Refreshed', 'XNA']   \n",
       "NAME_GOODS_CATEGORY                       ['XNA', 'Mobile', 'Consumer Electronics', 'Com...   \n",
       "NAME_PORTFOLIO                                      ['POS', 'Cash', 'XNA', 'Cards', 'Cars']   \n",
       "NAME_PRODUCT_TYPE                                              ['XNA', 'x-sell', 'walk-in']   \n",
       "CHANNEL_TYPE                              ['Credit and cash offices', 'Country-wide', 'S...   \n",
       "SELLERPLACE_AREA                                  [-1, 0, 50, 100, 20, 30, 40, 25, 15, 150]   \n",
       "NAME_SELLER_INDUSTRY                      ['XNA', 'Consumer electronics', 'Connectivity'...   \n",
       "CNT_PAYMENT                               [12.0, 6.0, 0.0, 24.0, 10.0, 18.0, 36.0, 60.0,...   \n",
       "NAME_YIELD_GROUP                          ['XNA', 'middle', 'high', 'low_normal', 'low_a...   \n",
       "PRODUCT_COMBINATION                       ['Cash', 'POS household with interest', 'POS m...   \n",
       "DAYS_FIRST_DRAWING                        [365243.0, -359.0, -329.0, -284.0, -302.0, -39...   \n",
       "DAYS_FIRST_DUE                            [365243.0, -271.0, -322.0, -733.0, -313.0, -32...   \n",
       "DAYS_LAST_DUE_1ST_VERSION                 [365243.0, 5.0, 6.0, 3.0, 2.0, 8.0, 30.0, -2.0...   \n",
       "DAYS_LAST_DUE                             [365243.0, -371.0, -300.0, -289.0, -370.0, -33...   \n",
       "DAYS_TERMINATION                          [365243.0, -184.0, -338.0, -324.0, -345.0, -23...   \n",
       "NFLAG_INSURED_ON_APPROVAL                                                        [0.0, 1.0]   \n",
       "DAYS_FIRST_DRAWING_without_365243         [-359.0, -329.0, -302.0, -284.0, -394.0, -322....   \n",
       "DAYS_FIRST_DUE_without_365243             [-271.0, -322.0, -733.0, -313.0, -320.0, -509....   \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243  [5.0, 6.0, 3.0, 2.0, 30.0, 8.0, -17.0, -2.0, 3...   \n",
       "DAYS_LAST_DUE_without_365243              [-371.0, -300.0, -289.0, -370.0, -339.0, -161....   \n",
       "DAYS_TERMINATION_without_365243           [-184.0, -338.0, -324.0, -233.0, -345.0, -358....   \n",
       "days_fdue-fdrw                            [45.0, 43.0, 40.0, 41.0, 47.0, 42.0, 44.0, 46....   \n",
       "days_ldue1-fdrw                                                                     [720.0]   \n",
       "days_ldue-fdrw                            [48.0, 164.0, 45.0, 46.0, 41.0, 108.0, 222.0, ...   \n",
       "days_trm-fdrw                             [14.0, 101.0, 253.0, 1884.0, 184.0, 57.0, 187....   \n",
       "days_ldue1-fdue                           [330.0, 150.0, 270.0, 690.0, 510.0, 1050.0, 21...   \n",
       "days_ldue-fdue                            [150.0, 330.0, 270.0, 90.0, 120.0, 210.0, 300....   \n",
       "days_trm-fdue                             [156.0, 338.0, 157.0, 155.0, 337.0, 336.0, 154...   \n",
       "days_ldue-ldue1                           [0.0, -30.0, -60.0, -90.0, -120.0, -150.0, -24...   \n",
       "days_trm-ldue1                            [6.0, 7.0, 8.0, 5.0, 4.0, 3.0, 2.0, 9.0, -22.0...   \n",
       "days_trm-ldue                             [6.0, 8.0, 5.0, 7.0, 4.0, 3.0, 2.0, 9.0, 10.0,...   \n",
       "amt_cre-by-app                            [1.0, inf, 1.066, 0.9, 1.132, 1.198, 1.099, 1....   \n",
       "amt_ann-by-app                            [0.05, 0.11, 0.0275, 0.10936022514071295, 0.10...   \n",
       "amt_dwn-by-ann                            [0.0, 1.000100010001, 1.1111111111111112, 1.00...   \n",
       "amt_dwn-by-app                            [0.0, 0.1, 0.2, 0.3, 0.5, 0.4, 0.1002004008016...   \n",
       "amt_dwn-by-cre                            [0.0, 0.1111111111111111, 0.25, 0.428571428571...   \n",
       "amt_gds-by-ann                            [20.0, 0.0, 34.19972640218878, 8.5779478117655...   \n",
       "amt_gds-by-app                            [1.0, 1.1111111111111112, 0.8333333333333334, ...   \n",
       "amt_gds-by-cre                            [1.0, 0.9380863039399625, 1.1111111111111112, ...   \n",
       "amt_dwn-by-gds                            [0.0, 0.1, 0.2, 0.3, 0.5, 0.4, 0.1002004008016...   \n",
       "train                                                                                   [0]   \n",
       "\n",
       "                                                                                  top10 cnt  \n",
       "SK_ID_PREV                                                   [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]  \n",
       "SK_ID_CURR                                         [77, 66, 60, 46, 44, 44, 44, 44, 43, 43]  \n",
       "NAME_CONTRACT_TYPE                                              [120789, 103895, 31796, 33]  \n",
       "AMT_ANNUITY                               [5504, 1931, 1894, 1882, 1751, 1583, 1404, 644...  \n",
       "AMT_APPLICATION                           [67100, 7744, 6622, 6104, 5773, 4422, 3825, 34...  \n",
       "AMT_CREDIT                                [60191, 5923, 3115, 3089, 2578, 2551, 2021, 18...  \n",
       "AMT_DOWN_PAYMENT                          [55879, 2775, 1990, 1341, 1256, 963, 764, 694,...  \n",
       "AMT_GOODS_PRICE                           [7744, 6625, 6109, 5775, 4421, 3824, 3471, 322...  \n",
       "WEEKDAY_APPR_PROCESS_START                [40060, 39491, 39048, 38675, 38094, 36472, 24673]  \n",
       "HOUR_APPR_PROCESS_START                   [29464, 28452, 27890, 26418, 24090, 22070, 193...  \n",
       "FLAG_LAST_APPL_PER_CONTRACT                                                  [255352, 1161]  \n",
       "NFLAG_LAST_APPL_IN_DAY                                                        [255657, 856]  \n",
       "RATE_DOWN_PAYMENT                          [55879, 4600, 989, 155, 103, 68, 34, 33, 32, 30]  \n",
       "RATE_INTEREST_PRIMARY                         [234, 159, 134, 128, 107, 95, 60, 49, 32, 24]  \n",
       "RATE_INTEREST_PRIVILEGED                         [389, 196, 177, 170, 169, 22, 17, 6, 5, 2]  \n",
       "NAME_CASH_LOAN_PURPOSE                    [135724, 110567, 3648, 2176, 1176, 419, 364, 3...  \n",
       "NAME_CONTRACT_STATUS                                           [150682, 56878, 45288, 3665]  \n",
       "DAYS_DECISION                             [398, 378, 373, 371, 367, 365, 364, 360, 358, ...  \n",
       "NAME_PAYMENT_TYPE                                               [150852, 104424, 1093, 144]  \n",
       "CODE_REJECT_REASON                        [207560, 29247, 7907, 4831, 3665, 1936, 866, 4...  \n",
       "NAME_TYPE_SUITE                                 [81335, 31383, 9483, 4460, 2551, 1257, 311]  \n",
       "NAME_CLIENT_TYPE                                                [193579, 41823, 20713, 398]  \n",
       "NAME_GOODS_CATEGORY                       [153600, 30965, 16791, 15846, 13939, 8217, 396...  \n",
       "NAME_PORTFOLIO                                             [98551, 69900, 65017, 23000, 45]  \n",
       "NAME_PRODUCT_TYPE                                                    [163613, 70893, 22007]  \n",
       "CHANNEL_TYPE                              [119626, 71628, 28575, 16056, 12406, 7422, 754...  \n",
       "SELLERPLACE_AREA                          [126092, 9843, 5702, 5198, 4755, 4733, 3518, 2...  \n",
       "NAME_SELLER_INDUSTRY                      [140398, 56564, 37679, 8883, 4364, 4053, 2627,...  \n",
       "CNT_PAYMENT                               [47791, 27701, 23000, 20987, 19305, 11898, 117...  \n",
       "NAME_YIELD_GROUP                                        [88017, 60561, 47270, 47211, 13454]  \n",
       "PRODUCT_COMBINATION                       [50889, 37158, 29820, 23847, 19649, 17988, 153...  \n",
       "DAYS_FIRST_DRAWING                             [135350, 24, 23, 22, 22, 22, 21, 21, 21, 21]  \n",
       "DAYS_FIRST_DUE                            [6683, 129, 123, 121, 120, 120, 117, 117, 117,...  \n",
       "DAYS_LAST_DUE_1ST_VERSION                 [14765, 125, 118, 118, 114, 111, 111, 109, 109...  \n",
       "DAYS_LAST_DUE                             [30429, 112, 108, 108, 104, 104, 103, 102, 102...  \n",
       "DAYS_TERMINATION                          [31913, 146, 139, 137, 134, 134, 133, 133, 132...  \n",
       "NFLAG_INSURED_ON_APPROVAL                                                    [94776, 49778]  \n",
       "DAYS_FIRST_DRAWING_without_365243                  [24, 23, 22, 22, 22, 21, 21, 21, 21, 21]  \n",
       "DAYS_FIRST_DUE_without_365243             [129, 123, 121, 120, 120, 117, 117, 117, 115, ...  \n",
       "DAYS_LAST_DUE_1ST_VERSION_without_365243  [125, 118, 118, 114, 111, 111, 109, 109, 107, ...  \n",
       "DAYS_LAST_DUE_without_365243              [112, 108, 108, 104, 104, 103, 102, 102, 101, ...  \n",
       "DAYS_TERMINATION_without_365243           [146, 139, 137, 134, 134, 133, 133, 132, 132, ...  \n",
       "days_fdue-fdrw                            [418, 403, 398, 394, 394, 387, 385, 380, 363, ...  \n",
       "days_ldue1-fdrw                                                                         [1]  \n",
       "days_ldue-fdrw                                     [13, 13, 12, 12, 12, 11, 10, 10, 10, 10]  \n",
       "days_trm-fdrw                                               [10, 6, 5, 5, 4, 4, 4, 4, 4, 4]  \n",
       "days_ldue1-fdue                           [40269, 24372, 16787, 15274, 8949, 5901, 3757,...  \n",
       "days_ldue-fdue                            [18356, 18112, 12369, 8860, 6761, 5772, 4619, ...  \n",
       "days_trm-fdue                             [2663, 2623, 2558, 2482, 2440, 2345, 2307, 219...  \n",
       "days_ldue-ldue1                           [54576, 11482, 6761, 4511, 3678, 3469, 3125, 3...  \n",
       "days_trm-ldue1                            [7192, 7058, 6896, 6882, 6384, 6375, 4228, 286...  \n",
       "days_trm-ldue                             [14636, 14432, 14430, 14386, 13452, 12852, 883...  \n",
       "amt_cre-by-app                            [51154, 6909, 5978, 4599, 3065, 2507, 2439, 19...  \n",
       "amt_ann-by-app                            [21559, 746, 481, 334, 322, 315, 275, 252, 251...  \n",
       "amt_dwn-by-ann                                  [51202, 80, 46, 40, 37, 19, 16, 15, 14, 11]  \n",
       "amt_dwn-by-app                            [55876, 11497, 2229, 465, 341, 201, 91, 73, 59...  \n",
       "amt_dwn-by-cre                             [55879, 4594, 989, 155, 103, 68, 34, 33, 32, 30]  \n",
       "amt_gds-by-ann                            [14999, 569, 382, 334, 330, 321, 280, 275, 256...  \n",
       "amt_gds-by-app                                          [189387, 4, 3, 2, 2, 2, 2, 1, 1, 1]  \n",
       "amt_gds-by-cre                            [51173, 5978, 4602, 3065, 2507, 2439, 1969, 13...  \n",
       "amt_dwn-by-gds                            [55876, 11497, 2229, 465, 341, 201, 91, 73, 59...  \n",
       "train                                                                              [256513]  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EDA.df_info(df_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "obj_features = [c for c in train.columns if df[c].dtype=='O']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YZ5O9rafUmmC7686SDUPHYYypP5JkPNaheknFYPBaGBM6DlNalmAGdO8JMgRh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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c80f898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kY4wplURMmtixzB4PDGfgCVQK2MSOZfabbXHtLV20xpKlEAs6iLcCQ3GJUwtu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\nEZEqlCyJiIiIVPH/AdG7NrBeKPB4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c5ca240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kjWjz8SxZvpZJrPuybQUsjBiSSDNSmV2h6ZN5E2CHjVi+4yQeevx1pkYOqa7E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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c580c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "col = list(EDA.split_seq(obj_features, 6))\n",
    "for c in col:\n",
    "    EDA.venn_diagram(train, test, c, (12, 7))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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l7qAcx3GcssQdlOM4jlOWuINyHMdxyhJ3UI7jOE5Z4g7KcRzHKUvcQTmO4zhl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\n4zhlyf8HKE1bUxI8p7wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c1df748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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x48cv74lIS35PRKG3qUrJORE59rhsj9SyoLUT8dBeX0gt6wsPl302rlKY2TPu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\nv6hSQWa2NaHx2wr4X8L489IUOonyNKz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3wAPAbWa2Wv55M+sP/A64LCYdBgxx9/7u3p9g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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c1df2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Hqur3rnMbJCKTc8Rd7yYEInIBJlamXbt2hSQNCKgQKsGlgICAKkaNd64i8gyw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\nZzpPlZbSeQShpW8QOppEXEeburkOg5aqdPRSUUdp+/xExKlO6Qji5rl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Sak72sxBuFufb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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c662f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AzGwpcD3wctyui2kA5wN/jXXeBx6L6TcCx0qaQfC+vLGQv8txGkNJXtCOd4VD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\nXN02JcsUMxso6Q3gADPbJGmymR1URBm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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c440eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eJ3fkxkvuozYk85IXUPWx2MwuTClA0uFVolPU3xZWWy1eL8YI1SZZMh64E1hL\n0lXAJ4EjM9bg1E5SL7mPqjKeRF7yNqg6iI2Y7xAadovvcjIbayPpgnLBhLEbI8xsub0JkTQU2J5w\nPR4zs46vAupkQmovuY+qk8pLXkDVQd7G2sR64UOAUwlrDp1hZlMz1vDTcuFm9vOMdVwPXArcGUfD\nOzkmT15yH7XRksxLy/VdQb2kGiNRiqRehEfuk4F/AV82sxcSyZlb9L7Q2Px8Ah2/B44CLpB0HXC5\nmf07gQ6nBvLgJfdRRZJ5yZ+g6kTSJsBowo8ICEt7Z5j/N4ETgXuAs8zs9azyroU4CejNZvbZRPkP\nJHQd/hHwH+CPwJ98EGT+SOkl91FNGjL3khdQdSDpZ8AuBFPdDnwOeMjMvpyhhqWEuvuZtG7MLQzs\n2ywrLeWQNBh43Mw2SJD3UOBQwuwEbwJXATsCm5rZLlnrcSqT2kvuo3bzT+Ilr+Krjy8DY4ApZnaU\npFUJ3WSzZBeg0t3e2hnqAEDS07QYvCcwjDCvWNY6bgQ2Aq4EvmBmb8WoayVNzFqP0y6pvbQL7qNK\nWpJ5yQuo+phvZkslLZY0gHAHlnWj7uWEOuJzCyPeo7l/DWwIbJOxnr2L3i8GZqQYiQ/8r5n9s1yE\nmW1dLtxJSmovXY77qBLJvOTrQdXHREmDCHWxk4DJwOMZa9gKWA+YImk3SSdGDY/SMpYiM2Ld/SBC\n99wvEapsUvCgpBMkXR+3byVa18epjdRech9VJpmXvA2qi5A0EhiQdXfUovxPBP6HUD+8vZlNT6jj\nq4QR8BDMdZGZlRtn0p06LgZWACbEoMOAJWZ2bJY6nI6T0kvuo7JaknnJC6g6kbQfobHQCI26N7Vz\nSFfnPwj4FeEu73uExc4+DZxY6bG8m/VMBXYws7lxvx9hYslMG5klPWVmY9oLc/JDSi+5j6pqSeYl\nr+KrA0m/A75OWL/mGeA4Sb/NWMZk4EVgazO728y+TbjD+YWkqzPWAqHXU/FcaktiWNYsiXOGASBp\nFDmYL9EpTw685D6qTDIveSeJ+tgZ2MTiY6ikCQSDZclOpdUQZvYkMFbSVzPWAnAZ8C9JhbvfLwKX\nJNDxXcKEm68QjL0OYbChk09Se8l9VJlkXvIqvjqI3S9PKgzqk7QOYZDfwWmVpUXSloSqGgEPmNmU\nRDp6E3pgCfi3mfls5jnFvdSWvPgoakniJS+gOoGkWwj15AMJ3U8fj/vbAY+Y2e4J5SVF0vbAs2Y2\nJ+73B0ab2b8yyr/q0ghmdmO1eCdb3EvlSe2jmGdyL3kB1Qkk7Vwt3szuz0pL3pA0BdiyqKqmBzDR\nzLbMKP/LqkSbmR2dhQ6nNtzAFh7EAAAebklEQVRL5Unto5hnci95G1QnWF5NUyOyorueOPgys9+Z\nmXk7UwPhXqpIUh/FPJN7yXvxOV3NK3FQ3wpxOxF4JWsRkoZK+o2kyZImSTo/zifmOI1ALnwEab3k\nBZTT1XwdGAu8AUwntCV8LYGOawgTf+5PmOdtJnBtAh2O0xny4iNI6CVvg6oTSSsBaydcN8Ypg6RJ\nZrZVSdhEn4cvv7iX8klKL/kTVB1I+gLwJHBn3N9c0s1pVaVF0oQ4Kr+wP1jSpQmk3CvpIEk94nYA\ncFsCHU4NuJdakyMfQUIv+RNUHUiaBOwG3GdmW8SwqanXjkmJpCmFa1EtLAMdc4B+QGGJ6h60rFJq\nZjYgSz1OddxLrcmLj2K+ybzkvfjqY7GZfSilmoEkl/SQNNjMPgCQNIQEvzMz6591nk5duJdakwsf\nQVoveQFVH89I+grQU9IGwAnAI4k1pebXwCOSro/744AzUgiRtBkwkqLfuQ/UzS3updbkxkeQzkte\nxVcHkvoCPwL2IEwBchdwupl9nFRYYiRtDOxKuCb3mNlzCTRcCmwGPEtL1YQP1M0p7qW25MFHUUcy\nL3kB5XQLkoYDfQr7ZjYt4/yfM7OUi7w5Tt2k9lHUkMxLXsVXB5I+AZxC20ff3VJpSo2kfQjVE2sQ\nlu1eB3ge2DhjKY9KGp3qrtPpGO6l1uTIR5DQS/4EVQeSngJ+T1iietn6KGY2KZmoxMRrshvwDzPb\nQtKuwMFmlukgQ0k7AbcAbwMLCNUktrz2Css77qXW5MVHUUsyL/kTVH0sNrMLU4vIGYvM7L3CmAkz\nu1fSrxLouJSw4NzTtNSbO/nFvdSavPgIEnrJC6hOELt8Atwi6b+Amwh3FgCY2ftJhOWDWZJWBh4A\nrpL0DrA4gY5pZrbcDvRsFNxLFcmLjyChl7yKrxNIepWwZk25QRtmZqMylpQbJPUD5hMG8x1CWOfn\nKjN7L2MdvwMGEaomiv/wvJt5jnAvlScvPopaknnJC6g6kNSntBtsuTAneyqsZePdzHOKeym/pPSS\nF1B1IGly6QJi5cIcx6mOe8kph7dBdQJJqwEjgJUkbUFL9cQAoG8yYc4yYrflC4FVzWyTOBJ+HzP7\nRWJpThHupfyT0kv+BNUJJB0BHAlsDTxBi6lmAxOW13YOST0Jn//QHGi5H/gu8IeiyUefMbNN0ipz\ninEvtSVPPoK0XvInqE5gZhOACZL2N7MbUuvJC2a2RNIwSSua2cLEcvqa2eMlk4+m6gXlVMC91Jac\n+QgSeskLqDpwQ5XlNeDhuJZPYUp+zOzcjHW8K2k9Qg8xJH0ZeCtjDU6NuJfa8Br58BEk9JIXUE5X\n82bcegApl7z4JnARsJGkN4BXCd11HacRyIuPIKGXvA3KaWrieJIeZjYntRbHaWRSeMkLqDqRNJa2\nE1xekUxQYiTdS6wKKGZ5nfTTqR33Ugvuo4BX8dWBpCuB9YAnaZng0oDl0lSRU4re9wH2xzsnOO3g\nXmqD+wh/gqoLSc8Do80vYlUk3W9mO6fW4eQX91L7LI8+8ieo+ngGWA3vHbaMosk/ITTwbkW4Rlnr\n6AucDKxtZl+Ny4hvaGa3Zq3FqQn3UhF58VHUksxLXkB1Akm3EKof+gPPSXqc1pMo7pNKWw6YRMvk\nn4sJPX6OSaDjsqhlh7g/HbgO8AIqR7iXKpIXH0FCL3kB1TnOSS0gr5jZuqk1RNYzswMlHQxgZvNV\nMtLQyQXupTLkyEeQ0EteQHUCM7s/tYa8ImkF4BvATjHoPsIUKYsylrJQ0kq0DC5cj6I7cycfuJfK\nkyMfQUIveSeJOpA0h7ZdQT8EJgInm9kr2atKi6SLgRWACTHoMGCJmR2bsY7PAD8GRgN3A58EjjSz\n+7LU4dSGe6k1efFR1JLMS15A1YGk0wijvf9MqCs+iNCQ+QLwDTPbJZ26NEh6yszGtBeWkZahwPaE\n7+YxM3s3aw1ObbiXWpMnH8W8k3ipRxaZNDF7mtkfzGyOmc02s4uAvczsWmBwanGJWBKrAACQNIqW\ncS1Z0wf4gDAz9mhJO7WT3kmHe6k1efIRJPKSt0HVx1JJBwDXx/0vF8Utr4+m3wXulfQK4W5rHeCo\nrEVI+hVwIPAssDQGG/BA1lqcmnAvtSYXPoK0XvIqvjqIdzXnE7pfGvAYcBLwBrCVmT2UUF4yJPUG\nNiQY699mlnnnBEkvAJulyNvpOO6ltuTBR1FHMi95AeV0KZImApcCV5vZBwl13AGMM7OPUmlwnM6S\nFx9FLcm85AVUHUi6jPITOh6dQE4ukLQ+oSriQEIPrMuAu7OawkbSBYTvZAQwBriH1gM/T8hCh9Mx\n3EutSe2jqCG5l7yAqgNJ+xft9gG+BLzpf4IgqQewN3Ahod76UuB8M3u/m/M9okq0La+zY+cd91J5\nUvko5p3cS15AdSHxx/SP5W1K/FIkbUa4+9sLuAu4CtgROMzMNs9Iw4lmdn57YU4+cS/lw0dRRzIv\neQHVhUjaELjNzNZPrSUVkiYBs4BLgBuKG1Yl3Whm+2WkY7KZbVkSNsXMtsgif6c+lncv5cVHMb9k\nXvJu5nVQNPpd8fVt4NSkotIzrtKo/yxMFecL+wqwrqSbi6L6A+91d/5O53AvtSGpjyAfXvICqg7M\nrH9qDXkjB1PSPEJYsmEV4NdF4XOAqUkUOe3iXmpNDnwEOfCSV/HViaR9KJrQ0dcbcpzO4V5ySvEC\nqg4knQVsQ2i8BDgYmGhmP0inynEaD/eSUw4voOpA0lRgczNbGvd7AlPMbLO0ytIRr8HngZEUVSGb\n2bmpNDn5x73UGvdRwCeLrZ9BRe8HJlORH24BjgSGEhpTC1smSLonvv4qqzydLsO91EJSH0E+vOSd\nJOrjTGCKpHsJvY92Apb3Kok1E9/1ri5pZ2AfSdcQvpdlmNnkNLKcdnAvtSa1jyAHXvIqvk4Slzxe\nE1hMqDsX8C8zezupsMTEu617zOzuRPl/GTiGMKBxYkm0Lc8DP/OKe6ktqX0UNST3khdQdSBpkplt\nlVpHnpD0JeBPhOrjRcRxLWY2IGMdPzGz07PM0+k87qXW5MVHUUsyL3kBVQeSfgtcbmZPpNaSF+L6\nNV8Ens5yYssKWrzbcoPgXmpNnnwU9STxkhdQdSDpOeATwOvAXFruclLXHSdD0l3A5wq9sRLqOBPY\nFu+23BC4l1qTFx9FLcm85AVUHUhap1y4mb2etZa8IOlyYBRwB62n5s+0e6x3W24s3EutyYuPopZk\nXvJefHVgZq/HL2tV/FoWeDVuK8YtJYOAwrIEy3u35VzjXmpDnnwEibzkP4Q6kPQt4GfADMJaLRAm\nulxu79LN7DQASf3DbrIVbb3bcgPhXmpNjnwECb3kVXx1IOklYDsz81myI5I2Aa4EhsSgd4HDzezZ\nBFpWx7stNwTupdbkyUdRTxIveQFVB/GO4jNmtji1lrwg6RHgR2Z2b9zfBfilmY1NKszJNe6l1riP\nAl7F1wkkfSe+fQW4T9JtJG7IzBH9CqYCMLP7JPVLKcjJL+6liriP8AKqsxTmxJoWt+KGzOX9kfQV\nST8hVE8AHEpo7HWccriXyuM+wqv46kLSODO7rr2w5QlJg4HTCNOjADwAnGZmH2Ss40ozO6y9MCcf\nuJdakxcfRS3JvOQFVB1ImmxmW7YXtrwQuwmfZWbfzYGWVt9D1Pa0mY1OKMupgHuphTz5CNJ6yav4\nOoGkzwF7ASMk/aYoagBhwsvlEjNbIinpfGqSfgD8EFhJ0uxCMLAQuCiZMKcs7qW25MFHkA8v+RNU\nJ5A0Btgc+Dnw06KoOcC9KR7D84KkXwMbANcRpqwBwMxuzFjHmT6tUf5xL5UnLz6KWpJ5yQuoOpC0\ngpktSq0jT0i6rEywmdnRCbSMANah9YqkD2Stw2kf91Jr8uQjSOclr+KrAzdUC5J+ZWanArfnoWFb\n0lnAQcBzwJIYbITGZidnuJcCefMRpPWSP0E5XYKkp4EtCaPMkzdsS3oB2MzMFrSb2HFyQt58BGm9\n5E9QTldxJ2E6ln5FDaqQbqG1V4AVKBr06TgNQN58BAm95E9QdSDpE8B3aVs3u9wuKy7pb2a2bw50\n3ACMAe6h9cwEJyQT5VTEvdSavPgI0nrJC6g6kPQU8HtgEi11s5jZpGSiHAAkHVEu3MwmZK3FaR/3\nUn5J6SUvoOpA0iQzSz5ewXEaHfeSUw4voDqBpMIU+CcA7wA30frR9/1yxznZIelVyszlZmajEshx\nKuBeyj8pveQFVCco+sJUJtr8TzA9koYW7fYBxgFDzOynFQ5xEuBeyj8pveQFlNOlSPokMJ6Wxu5C\n76PkfzSSHjKzHdtP6ThpybOPIDsveTfzOpA0DrjTzOZI+jFh/MLpZjYlsbSUXAKcREljd9ZIKh5D\n0gPYmpalHZyc4V5qQy58BGm95AVUffzEzK6TtCPwWeAcQk+k7dLKSsqHZnZHahHAr4veLwZeAw5I\nI8WpAfdSa/LiI0joJa/iqwNJU8xsC0lnEqaf/3MhLLW2rCm6yzoA6AncSOvG7skpdDmNgXsp4D5q\njRdQdSDpVuANYHdgK2A+8LiZjUkqLAGS7q0SbVkPuJQ0EPgZsFMMuh/4uZl9mKUOpzbcS4G8+QjS\neskLqDqQ1BfYk3DH96Kk1YFNzezuxNKWe+Lo92eAwmDCw4AxZrZfOlVOJdxL+SWll7yA6gIkDSd0\nvwTAzKYllJMUSScClxHW8/kjobH7+1n/0Uh60sw2by/MyRfupUBefBS1JPNSj+7OoJmRtI+kF4FX\nCY+9rwJ5adhMxdFmNhvYAxgOHAWclUDH/NjgDizrtjs/gQ6nBtxLbciLjyChl7wXX32cDmwP/CM2\n8O4KHJxYU2oKAy73Ai4zs6cklRuE2d18A5gQ688BPgCOTKDDqQ33Umvy4iNI6CUvoOpjkZm9J6mH\npB5mdq+kX6UWlZhJku4G1gV+IKk/sDRrEWb2JDBG0oC4P7udQ5y0uJdakwsfQVoveRVffcyStDJh\nZcmrJJ1PGCewPHMM8H1gGzObB6xIqJ7IFEm/lDTIzGab2WxJgyX9ImsdTs24l1qTCx9BWi95J4k6\nkNSPUBfbAzgEGAhcZWbvJRWWGEmDgQ1o3did6VLr5cbQSJqcl1VKnda4l9qSBx9FHcm85FV8nUDS\n+sCqZvZwDFpKqKPdCRgELM+mOhY4EVgTeJLQrvAokPX4jZ6SeheWqZa0EtA7Yw1OO7iXypMjH0FC\nL3kVX+c4j9D9s5R5MW555kRgG+B1M9sV2AKYmUDHn4B7JB0j6Wjg77SM43Dyg3upPHnxEST0kj9B\ndY6RZja1NNDMJkoamb2cXPGxmX0siXjX9W9JG2Ytwsz+W9JUwswEIkw8elfWOpx2cS+VJxc+grRe\n8gKqc/SpErdSZiryyXRJg4C/An+X9AHwZtYiJK0L3Gdmd8b9lSSNNLPXstbiVMW9VJ5c+AjSesk7\nSXQCSVcD/zSzP5aEHwPsYWYHplGWLyTtTGjsvtPMFmac90RgbCFfSSsCD5vZNlnqcKrjXmqflD6K\n+SfzkhdQnUDSqoSlqRcS1muBsEbKisCXzOztVNpSI2l74FkzmxP3+wOjzexfGesoNz3LU8vb5KN5\nx71Unrz4KOadzEveSaITmNkMMxsLnEZYG+U14DQz22F5NVQRFwIfFe3PjWFZM1PSPoUdSfsC7ybQ\n4VTBvVSRvPgIEnrJn6CcLqXC3dZUM9ssYx3rAVcBaxAadv8DHG5mL2Wpw3E6Q158FPNN5iXvJOF0\nNa9IOoGWu73/Al7JWoSZvQxsH2cnUKGqxHEahFz4CNJ6yZ+gnC4lLpfwG8KAQgPuAb5tZu8k0PJ5\nYGNaj8T/edY6HKej5MlHUU8SL3kB5TQlkn4P9AV2BS4GvkxYofWYpMIcp8FI6SXvJOF0G5ImJ8x+\nrJkdDnxgZqcBOwBrJdTjOJ0isY8goZe8gHK6k1Tr10DLgmrzJK0BLCIsXeA4jUZKH0FCL3knCac7\nuS1h3rfGkfhnA5MJ9fh/rH6I4+SSlD6ChF7yNiin6ZHUG+hjZh+m1uI4jUzWXvIqPqdLkbSfpBcl\nfShptqQ5kpKuZmtmC7xwchqJPPoIsveSP0E5XYqkl4AvmNnzqbU4TqPiPgr4E5TT1cxY3k3lOF2A\n+wh/gnK6GEnnA6sRlglYUAg3sxsz1iHC0uGjzOznktYGVjOzx7PU4TidIS8+ilqSeckLKKdLkXRZ\nmWAzs6Mz1nEhYfnw3czs/0kaDNzty204jUBefBS1JPOSdzN3uhQzOyq1hsh2ZralpCkAZvZBXMfG\ncXJPjnwECb3kbVBOlyJpTUk3SXpH0gxJN0haM4GURZJ6EsZsIGkY4S7QcXJPjnwECb3kBZTT1VwG\n3EyYmn8EcEsMy5rfEBbCGy7pDOAh4JcJdDhOZ8iLjyChl7wNyulSKqxj0yYsIy0bAZ8mTBVzj/eK\nchqFPPko5p3ES94G5XQ170o6FLg67h8MvJdIy4vAbOLvXNLaZjYtkRbH6Qh58hEk8pI/QTldSuyC\n+r+EGY8NeAQ40cxez1jHt4CfATOAJYQ7P0uxIqnjdJS8+ChqSeYlL6CcpiSOxN/OzFLedTpOw5PS\nS17F53QJkn5aJdrM7PTMxAT+A/j8e05DkUMfQUIv+ROU0yVIOrlMcD/gGGComa2ckY7vxLcbAxsS\nliooHol/bhY6HKcz5MVHUUtyL/kTlNMlmNmvC+8l9QdOBI4CrgF+Xem4bqB/fJ0WtxXjBnEch+Pk\nlRz5CHLgJS+gnC5D0hDgO4R5uyYAW5rZB1lqiEtSI2mcmV1Xom9cllocpzPkwUeQDy/5QF2nS5B0\nNvAEMAfY1MzGpzBVET+oMcxxckMOfQQJveRtUE6XIGkpoX56Ma0f/wtdUgdkpONzwF7AAcC1RVED\ngNFmtm0WOhynM+TFR1FLci95FZ/TJZhZXp7G3wQmAvsAk4rC5wAnJVHkODWSIx9BDrzkT1BOUyJp\nBTNblFqH4zQ6Kb3kBZTjOI6TS/L0OOk4juM4y/ACynEcx8kl3knCaUokbQ38CFiH8Dv3yWIdpxOk\n9JK3QTlNiaQXgO8CT1O0+meK2aAdp5FJ6SV/gnKalZlmdnNqEY7TBCTzkj9BOU2JpE8TFnm7h9YT\nXN6YTJTjNCApveRPUE6zchSwEbACLdUSBngB5TgdI5mXvIBympUxZrZpahGO0wQk85J3M3ealcck\njU4twnGagGRe8jYopymR9DywHvAqod7cu5k7TidI6SUvoJymRNI65cK9m7njdIyUXvICymlaJI0B\nPhV3HzSzp1LqcZxGJZWXvA3KaUoknQhcBQyP258kfSutKsdpPFJ6yZ+gnKZE0lRgBzObG/f7AY96\nG5TjdIyUXvInKKdZEbCkaH9JDHMcp2Mk85KPg3KalcuAf0m6Ke5/EbgkoR7HaVSSecmr+JymRdKW\nwI6Eu70HzGxKYkmO05Ck8pIXUE7TIakHMNXMNkmtxXEamdRe8jYop+kws6XAU5LWTq3FcRqZ1F7y\nNiinWVkdeFbS48DcQqCZ7ZNOkuM0JMm85AWU01RI6m1mC4DTUmtxnEYmD17yNiinqZA02cy2lHSl\nmR2WWo/jNCp58JI/QTnNxoqSjgDGStqvNNIXLHScmknuJS+gnGbj68AhwCDgCyVxvmCh49ROci95\nFZ/TlEg6xsx8YK7j1ElKL3kB5TiO4+QSHwflOI7j5BIvoBzHcZxc4gWU05RI+mRcFgBJh0o6t9LK\noI7jVCall7yAcpqVC4F5cSXQ7wGvA1ekleQ4DUkyL3kB5TQriy30ANoXON/Mzgf6J9bkOI1IMi/5\nOCinWZkj6QfAocBOknoCKyTW5DiNSDIv+ROU06wcCCwAjjGzt4ERwNlpJTlOQ5LMSz4OymlKYqPu\nx2a2RNIngI2AO8xsUWJpjtNQpPSSF1BOUyJpEvApYDDwGDARmGdmhyQV5jgNRkoveRWf06zIzOYB\n+wEXmNmXgI0Ta3KcRiSZl7yAcpoVSdqBMNnlbTGsZ0I9jtOoJPOSF1BOs/Jt4AfATWb2rKRRwL2J\nNTlOI5LMS94G5TQ1kvqZ2dz2UzqOU40UXvInKKcpkbSDpOeA5+P+GEm/SyzLcRqOlF7yAsppVs4D\nPgu8B2BmTwE7JVXkOI1JMi95AeU0LWb2n5KgJUmEOE6Dk8pLPtWR06z8R9JYwCStCJxArKJwHKdD\nJPOSd5JwmhJJqwDnA7sDAu4GTjSz95IKc5wGI6WXvIByHMdxcolX8TlNhaQLgIp3XWZ2QoZyHKdh\nyYOXvIBymo2JqQU4TpOQ3Etexec4juPkEn+CcpqSuCzAKcBIin7nZrZbKk2O04ik9JI/QTlNiaSn\ngN8Dkygas2Fmk5KJcpwGJKWXvIBymhJJk8xsq9Q6HKfRSeklL6CcpkLSkPj2BOAd4CbCctUAmNn7\nKXQ5TqORBy95AeU0FZJeJXSNVZloM7NRGUtynIYkD17yAspxHMfJJT5ZrNOUSBonqX98/2NJN0ra\nIrUux2k0UnrJCyinWfmJmc2RtCNhqYAJhJ5IjuN0jGRe8gLKaVYK3WE/D1xoZn8DVkyox3EalWRe\n8gLKaVbekPQH4ADgdkm98d+743SGZF7yThJOUyKpL7An8LSZvShpdWBTM7s7sTTHaShSeskLKKep\nkTQc6FPYN7NpCeU4TsOSwkte5eE0JZL2kfQi8Cpwf3y9I60qx2k8UnrJCyinWTkd2B74PzNbl7Aa\n6MNpJTlOQ5LMS15AOc3KorgkdQ9JPczsXmDz1KIcpwFJ5iVfbsNpVmZJWhl4ALhK0jvA4sSaHKcR\nSeYl7yThNCWS+gHzCbUEhwADgavinaDjODWS0kteQDlNhaT1gVXN7OGS8J2AN8zs5TTKHKexyIOX\nvA3KaTbOA+aUCZ8X4xzHqY3kXvICymk2RprZ1NJAM5tIWLLacZzaSO4lL6CcZqNPlbiVMlPhOI1P\nci95AeU0G09I+mppoKRjgEkJ9DhOo5LcS95JwmkqJK1KWJp6IS0m2pow+/KXzOztVNocp5HIg5e8\ngHKaEkm7ApvE3WfN7J8p9ThOo5LSS15AOY7jOLnE26Acx3GcXOIFlOM4jpNLvIByHMdxcokXUHUi\nyST9umj/FEnjS9I8JenqkrDLJc2T1L8o7Px4vlXi/hJJTxZt36+i4z5JL8S8Hpa0YVHcMEmLJB1X\nFPZnSd8o2t9O0lRJvSS9JunBkvM/KemZ+H4XSR+WaNu92vWQ9KOitMWf64Qyn6ViWkmPSlJM1zOG\nj415vFHQKWmfmKY4vLANqnQdnXS4l9xLbTAz3+rYgI8JC3itEvdPAcYXxf8/4GngDaBfUfjlwFTg\n0LjfI+5PLzrXRx3QcR+wdXz/NeDmorj/Ah4E7isKWxV4BRgW834C2DHGvQY8CaxV9BmeBJ6J+7sA\nt3bmenTic31Usn8NcGx8/23gj/H9eOCUIr3vxs+1LNy3fG/upY5dj058robzkj9B1c9i4CLgpArx\nXwGuBO4G9imJuxo4ML7fhbAIWFdMY/8AsH7R/sHAycCakkYAmNkM4Bzgv4GvA1PN7KGiY/5SpO3g\nqLUW2rse9XIS8ANJGwPHA6eWJjCz56OOVbpJg9M9uJdas9x7yQuoruG3wCGSBpaJOxC4lvCjPLgk\n7kVgmKTBMe6akviVSh6nD6Q2vkC400TSWsBqZvY4rY0C8HtgNPBd4Hsl57ge2K/ofLeUxH+qRNt6\nRXHVrkddmNlbhIkqHwV+YWbvl6aRtB2wFJgZg04q0nlvV2tyuhT3kntpGb5gYRdgZrMlXQGcQFg3\nBQBJ2wAzzex1SdOBSyUNNrMPig6/ETgI2A44jtbMN7OOrFx5laT5hGqFb8WwgwhmgmDaS4Bzo+6l\nkv5AqM4oXdvlfeADSQcBzxNmMC7mQTPbu5yIStejC/ktcJaZXV4SfpKkQwkzMB9oZhar2P/HzM7p\nBh1OF+Neas3y7iUvoLqO84DJwGVFYQcDG0l6Le4PAPYHLi5Kc008bkL8kdej4RALMw0XczCwqqRD\n4v4akjYwsxfj/tK4leNawg/4yE5oKXc9uoR4ncqNMPeCqDlwL7VmufWSV/F1EfHx+C/AMQCSegDj\ngM3MbKSZjQT2paRqwsymAT8CftfVmmLvo35mNqJIw5mEO8FauIlQr35XR/MuvR6OUyvupdYsz17y\nAqpr+TUtjYmFVSffKIp/ABgtafXig8zsD1Z+dcrSevOzOqjnYIIxirmBtvX3ZTGzOWb2KzNbWCa6\ntN78y2XSFF+PlJxUonVkakFOu7iXWrNcesnn4nMcx3FyiT9BOY7jOLnEO0k0GJJuAtYtCT7VzDpc\nt50HJP2I0L5QzHVmdkYKPc7yg3sp/3gVn+M4jpNLvIrPcRzHySVeQDmO4zi5xAsox3EcJ5d4AeU4\njuPkkv8PfSViGv/1E70AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22cf4d9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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gHzA0pgW4OpbVF1gGpFbsPQNYZmY7A9fFdI5TUVxBOU4NYWbPA0vzJgwMAcab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\nOI5TlbiCchzHcaqS/wfB5LUYVjSzTwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c316438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qMxtmZsP69evX3nd1nKpI66D6mdlYM1sat2uBNp9KM5trZo/H/YWETt0BhDbt\n62K264AD4v5I4HoLPEIQ3XrA3sA9ZrbAzN4B7gH2ief6mNnDccLN64tslbqH4+SFajR1ppltYGaD\nCEEO95nZYcD9wDdittHAX+L+hHhMPH9f1MoEYFSM8htMqNw9CkwBhsSowJ7xHhMy+r6OUzFpHdR8\nSYfH8Nbukg4H3k57kxjeuj0wGehvZnMhODHgUzHb8vbySKFdvK30OSXSaeMexeXyZgqnUdSkqSJ+\nQAiYmE7oY7o6pl8NrB3TTyW2JJjZc8B4QvDD34ATzGxZ7Mc6EZhIqFCOj3kdpyGkjeI7Bvg1cDGh\nTfrfQKpOXkmrA7cC/2Nm78duopJZS6Rl0l5eDjO7CrgKYNiwYR4273QkVWsKwMwmAZPi/gxKDPI1\ns8XAQWWu/ykhErA4/S7grrTlcJx6kvYN6lxgtJn1M7NPEcQ1pr2LJK1EcE43mtltMfnN2DxH/Hwr\nplfaLj4n7hent3UPx8kLVWnKcboSaR3UNrH/BwAzW0BositLjKi7GnjBzH6ZOJVsFy9uLz8yRvMN\nB96LzXMTgb0krRWDI/YCJsZzCyUNj/c6ktJt78l7OE5eqFhTjtPVSNvE103SWgVBxci69q7dFTgC\neEbSkzHth8B5wHhJ3wJepaUJ4i5gP2A68CGxucPMFkg6l9CBC/CTKGaA44FrgV7A3XGjjXs4Tl6o\nRlOO06VIK4iLgH9LuoXQXv5NSrRfJzGzf1G6nwhgjxL5DTihjK1rgGtKpE8FtiqR/napezhOjqhY\nU47T1Ug7k8T1kqYSxl0IONDn53Kc6nFNOU77pG5SiOJxAVXIqz/ZuqbrN/zfZzIqiZM3XFOO0zZV\nLbfhOI7jOPXGHZTjOI6TS9xBOY7jOLnEHZTjOI6TS9xBOY7jOLnEBwY6jpNLPALW8Tcox3EcJ5e4\ng3Icx3FyiTsox3EcJ5e4g3Icx3FyiTsox3EcJ5e4g3Icx3FyiTsox3EcJ5e4g3Icx3FyiTsox3Ec\nJ5e4g3Icx3FyiTsox3EcJ5e4g3Icx3FyiTsox3EcJ5e4g3Icx3FyiTsox3EcJ5e4g3Icx3FyiTso\nx3EcJ5e4g3KcJkLSQEn3S3pB0nOSvhvT+0q6R9JL8XOtmC5Jl0qaLulpSTskbI2O+V+SNDqRPlTS\nM/GaSyWp47+p47iDcpxmYylwmpltDgwHTpC0BXAGcK+ZDQHujccA+wJD4nYccAUEhwacDewM7ASc\nXXBqMc9xiev26YDv5TgrUDcHJekaSW9JejaRVvdaXrl7OE5nwMzmmtnjcX8h8AIwABgJXBezXQcc\nEPdHAtdb4BFgTUnrAXsD95h0gb96AAAdPklEQVTZAjN7B7gH2Cee62NmD5uZAdcnbDlOh1LPN6hr\nWbHm1RG1vHL3cJxOhaRBwPbAZKC/mc2F4MSAT8VsA4DZicvmxLS20ueUSC++93GSpkqaOm/evCy+\njuOsQN0clJk9ACwoSu6IWl65ezhOp0HS6sCtwP+Y2fttZS2RZlWkt04wu8rMhpnZsH79+qUpsuNU\nTEf3QXVELa/cPVbAa4FOMyJpJYJzutHMbovJb8aKG/HzrZg+BxiYuHwD4PV20jcoke44HU5egiTq\nUstrD68FOs1G7Gu9GnjBzH6ZODUBKPTRjgb+kkg/MvbzDgfeixW3icBektaKzeZ7ARPjuYWShsd7\nHZmw5TgdSkc7qI6o5ZW7h+N0BnYFjgB2l/Rk3PYDzgP2lPQSsGc8BrgLmAFMB34HfAfAzBYA5wJT\n4vaTmAZwPPD7eM3LwN0d8cUcp5geHXy/Qi3vPFas5Z0oaRwhIOI9M5sraSLws0RgxF7AmWa2QNLC\nWCOcTKjlXdbOPRyn6TGzf1G6BQFgjxL5DTihjK1rgGtKpE8FtqqhmI6TCXVzUJL+BIwA1pE0hxCN\ndx4wXtK3gFeBg2L2u4D9CDW2D4GjIdTyJBVqebBiLe9aoBehhleo5ZW7h+M4jtNE1M1BmdkhZU7V\ntZZnZm+XuofjOI7TXOQlSMJxHMdxWuEOynEcx8kl7qAcx3GcXOIOynEcx8kl7qAcx3GcXOIOynEc\nx8kl7qAcx3GcXOIOynEcx8kl7qAcx3GcXNLRc/E5NbLrZbvWdP1DJz2UUUkcx3Hqi79BOY7jOLnE\nHZTjOI6TS7yJz3GcLkGtzePgTeQdjb9BOY7jOLnEHZTjOI6TS9xBOY7jOLnEHZTjOI6TS9xBOY7j\nOLnEHZTjOI6TS9xBOY7jOLnEx0F1cf75hd1qun63B/6ZUUkcx3Fa4w7KcRynSryCV1+8ic9xHMfJ\nJe6gHMdxnFziTXxOpvz6tDtquv7Ei76aUUkcx2l23EE5juPkBK/gtabTOihJ+wCXAN2B35vZeQ0u\nklMFPz38GzVdf9YfbsmoJF0L14+TBzqlg5LUHbgc2BOYA0yRNMHMnm9syRwn/7h+Og/NXsHrrEES\nOwHTzWyGmS0BxgEjG1wmx2kWXD9OLpCZNboMmSPpG8A+ZvZf8fgIYGczO7Eo33HAcfFwM+DFFObX\nAeZnWFy3ly97ldjcyMz6ZXzvhpNGP51UO/Ww6fZKk0o7nbKJD1CJtBU8sZldBVxVkWFpqpkNq7Zg\nbi/f9upls8loVz+dUTv1sOn2aqOzNvHNAQYmjjcAXm9QWRyn2XD9OLmgszqoKcAQSYMl9QRGARMa\nXCbHaRZcP04u6JRNfGa2VNKJwERCmOw1ZvZcRuYratZwe01nr142m4Y66qcr/u3dXg10yiAJx3Ec\np/nprE18juM4TpPjDspxHMfJJe6gHMdxnFziDqqJkdRd0imNLkdnQNLnJB0d9/tJGtzoMjn1xfWT\nDfXUjjuoBiDpVklfllTT729my6jTFDRRvOtL2rCwVWmnhyTF/YGSviFp+wzLubGkH0l6tgYbZwM/\nAM6MSSsBf8iifE62ZKUdqJ9+stJOtJVr/dRbOx7F1waS7qDEDBQFzGz/Ku1+CTgaGA7cDFxrZtOq\ntPVTYA3gJmBRomyPV2Mv2jwJOBt4E/hPi0nbpkI7xwLnAx8A5wLfAx4HtieELp9fZfnWAw4GDgW2\nAX4O3GZmz1Rp78lYpsfNbPuY9nSl39dpoRm0E+1lqp+stBNt5V4/9daOO6g2kLRb3D0QWJeWmsEh\nwCwz+2GN9teIts4CZgO/A/5gZp9UYOP+EslmZrvXUK7phLnX3q7WRrTzHPA5oDfwAmH+rfmSVgWm\nmNmWFdo7lvB7bQCMj9tfzKymJgVJj5rZTpIeN7MdJK0GPOwOqnqaQTvRTqb6yUo70Vbu9VNv7XTK\ngbpZYWb/BJB0rpl9IXHqDkkP1GJb0trA4cARwBPAjYSHcTQwooIyfrGWcpRhNvBeBnaWmNk7wDuS\nppvZfAAz+1DSkirsXQ48DBxqZlMBJGVRwxov6UpgzSjiYwj/8JwqaQbtxHJmrZ+stAPNoZ+6ascd\nVDr6Sfq0mc0AiJ2AVc9iLek24DPADcBXzWxuPHWTpKkV2uoP/AxY38z2lbQF8Fkzu7ra8gEzgEmS\n/gp8XEg0s19WaKdXbC/vBvSM+4rbKlWUa33gIOCX8XuPJ7R514SZXShpT+B9wszc/2tm99Rq1wFy\nrJ1oL2v9ZKUdaAL91Fs73sSXAoXVRa8iPHwAg4Bvm9nEKu3tbmb3ZVS2u4GxwFlmtq2kHsATZrZ1\nDTbPLpVuZudUaKdU80nSXtW1V0kbEOaIOwRYFbi91mYjJ3vyrJ1oL1P9ZKWdaKvL68cdVEokrUyo\nuQFMM7OP28pfxsaBbZ03s9uqsDnFzHaU9ESik/JJM9uuUlslbK9mZovaz1nzffaspdYlaTNgVOGf\nQFp7khZSuiNfhH6IPtWWyWkhr9qJduuin47STrxXh+uno7TjTXwpiJ2SpxI6KY+VNETSZmZ2Z4Wm\nvtrGOQOqEdmi2CZvsazDqbENXNJngauB1YENJW1LqPV+pxa7bXA+ULXAzOxFIFlDTWXPzHpXe08n\nHTnXDmSsnwZoBxqgn47SjjuodIwFHgM+G4/nEEJcKxKZmR2dcbkgiH8CsLGkhwjt+9+o0eavgL2j\nXczsKUlfaPuSmii1QF6H2pO0A6Gj3YB/mdkTGZepq5Jn7UD2+ulo7UCD9VNP7biDSsfGZnawpEMA\nzOwjSdX8EzzczP4g6dRS56vpSDWzx2NI72aEB+vFSkNty9idXfQVl9Vqs63bNdKepP8ldB4XauHX\nSrrZzP4v43J1RXKrnXhd5vrpYO1AA/VTb+24g0rHEkm9aGkG2JhEhE4FrBY/s3493onQ+dwD2EES\nZnZ9DfZmS9oFMIUF604mjMPorBwCbG9miwEknUcYEOkOqnbyrh3IVj+unQy14w4qHWcDfwMGSroR\n2BU4qlIjZnZl/Kw4oqcckm4ANgaepKWmZkAtDuq/gUuAAYQmmb8DJ1RZvm7AcDP7dxvZZjXKXiL/\nKsDieLwy8HKFNpzS5FY7UBf9ZKadWL6862cWddSOR/GlJHakDic0AzxSGDRXpa3BwEm01NqA6qZ/\nkfQCsIVl9IeU1B042cwuzsJetPmwmX22/ZwNs/dnYEdCx7ABewL/At4CMLOTs7pXVySv2on2MtNP\nPbQT7eZWP/XWjjuoNpD0GTObFjsBV8Cqn6/rKUKkzzO0zNe1fPR9hbZuJohibruZ09ucZGYjMrR3\nDvA0Yb6vLP4RZG1vdFvnzey6Wu/R1WgG7UR7meona+1Em7nVT7214w6qDSRdZWbHlRkwZ1b9fF2T\nzWznGotXsHU/sB3wKK1HrldVo4w2s55AcyGhD2EZ8BE1jpXI2l602RPYNB5mEmjSlWkG7UR7meon\na+1Em7nWTz214w6qAUg6FBhCaJ9OiqLih1gtk3K2otoaZbSZ+QS0eUbSCOA6Qnu6gIHAaDOrac44\nJ3uy1E60l6l+XDvZaseDJFISI3MG0brdu9qO1K0JE13uTmJK/nhcKfuZ2Q+SCZLOB6p2UJbxBJox\nrPgwYLCZnStpILCemT2aB3vARcBeccAikjYF/gQMrdKekyDH2oGM9ZO1diD3+qmrdvwNKgXlIn2q\n7QCUNA3YxsyqmZG42NbjZrZDUVpV67GUG2NSoNqxJpKuIPwz2d3MNpe0FvB3M9sxJ/ZW+L2q/Q2d\n1uRZO9FeJvqpl3ai7dzqp97a8TeodAwjw0g54ClgTWKkSzVIOh74DmEE/NOJU72Bh6o0Wxhjshkh\nMmdCPP4qUMsr+84W1op5AsDM3ont1nmxN1XS1YQZsiHULh+rwZ7TQu60A3XRT720A/nWT1214w4q\nHc8SFl3LKlKuPzBN0hSq75j9I3A3YTXMMxLpC81sQTWFspbJIv8O7GBmC+PxGML0NNXySQzBLQzW\n7EciAisH9o4njFU5mdCO/gDwmxrsOS3kUTuQsX7qqB3It37qqh13UOlYB3heUlaRciWn5K8EM3sv\nRuNsbWav1GqviA2BZBPKEkIfQrVcCtwOfCpGOX0D+FFe7JnZx7HZ46+FtnQnM3KnnXj/eukna+1A\njvVTb+24g0rHmCyN1RJhV2TnP5KekrShmb2ahc3IDcCjkm4n1LK+Rg0zU5jZjZIeA/Yg1LIOMLOq\np3/J2p6k/YFfAD2BwZK2A35SS6i+s5wxWRrLSjvRVj30k6l2IN/6qbd2PEiiAShM6X8ZsDnhD9sd\nWFTNOARJ9xHavB+l9biLmh4QhQGWn4+HD1iNMxTHJoX+tI7kqvqfQpb2olh3ByZZy5pAHiSRQ7LU\nTrSXuX6y1k60mUv91Fs7/gaVgqxFAfyasJrlzYRO5CMJYzuqIct5/fomDmeRmJNLUt9q+7YknURo\nmnmTEMklQu2yqoc4a3vA0tjkU+XlTjlyrh3ISD/10k68Ps/6qat23EGlI2tRYGbTJXU3s2XAWElt\nTd7Ylp3MmjwI0TcGy9eDKbxeFx7gT1dp97vAZmb2dm3Fq5u9Z+MA0O6ShhA6fKv6ezgrkFvtRFtZ\n6ade2oF866eu2nEHlZIsRQF8GMM6n5R0ASHCabV2rilJljVUMxtcTRlSMJsaV/mts72TgLMInfh/\nAiYC52Zov0uTV+1Advqpo3Yg3/qpq3a8DyoFkh4AvgT8HniDIIqjzGzbKu1tRHi97gmcQpi76zdm\nNr0KW1MpUUM1sx9WYSvTCT4Tgxe3JIwP+SutI7kqGryYtb0S9vsEMyFE2KmdPGsn2stEP1lrJ9ps\nGv3USzv+BpWOI4BuwIkEUQwEvl6pkUK0UCKsdTEZtIFnWEM9FTiOMH3JCreh8ulkCoMXX41bz7gV\n7FVK1vYAkLQjcE3BvqT3gGPMzAfr1k6utQOZ6Sdr7UAT6Kfu2jEz31JshD/kNoS5wHpWaePxxP6t\nGZXrgVi264ELCP8Enmr071VUxoPSpDXQ3tPA5xPHnwOebvTv1lm2vGon2nL91GCv3trxJr4USPoy\n8FvCSpECBgPfNrO7K7TzhLWEYi7fr7FsmTZ5JOxmNsGnSs93tkJaA+09ZGa7tpfmVE6etRNtZa6f\nLLUT7eVWP/XWjjfxpeMi4IuFh1bSxoT224pERuvX6ExqBmb2Suw0HgTcRliPpaaJNJXRMtiS9gX2\nAwZIujRxqg+wtIpyZWovwaOSriR08hpwMDCp0J9gNazl4+RXO5C9frLSTrTVDPqpq3bcQaXjraIa\n1Qyqm6xyW0nvE2qSveI+8disuoG6K9RQJVVcQy0iqwk+XwemAgcB/4/wAC8j1FhPyYG9AtvFz+Jp\ndHahtqUcnBxrB+qinywnx20G/dRVO+6g0vGcpLuA8YQf/SBgiqQDAczstjRGzKx7HcqWVQ01SVYT\nfD5PmN24J3AMLF/QbCxwZw7sAfVZw8dZTp61A9nrJ8vJcXOvn3prxx1UOlYh1DIKq2/OA/oSptI3\nQtNAo8iqhoqkOwjfpzfZTPB5AbA6sJG1zO7cB7gwbt9tsD2n/uRZO5CRfuqgHXD9eJBEs6Mwk/BG\ntK6hvkhc0yZtDTXaOpYwP9eDRad2A14zs6srLNtLwKbFzR0K84BNM7OKZhTI2p7jZKWfrLUTbXZ5\n/fgbVAokDSaMmB5E68icPMx2nWUNdSTwQzNLLuCGpEWENuZKRWal2uLNbJmkampGmdqTdJCZ3Sxp\nsJnNrKI8TjvkXDuQnX6y1g7kWD8dpR13UOn4M+EBu4PaFgrLHDM7OkNzg4oFFu8xVdKgKuw9L+nI\n4hBbSYcD03Jg70zCDAK3AlWF7DrtklvtQKb6yVo7kG/9dIh2vIkvBZImm9nOjS5HvZE03cw2qfRc\nG/YGEGqgH9EymeaOQC/ga2b2WoPt3UOopG3Hik0zearlNy2uneq0E6/LrX46SjvuoFKgMFvvEODv\ntO747FTjYyT9CbjPzH5XlP4tYC8zO7hKu7sT5v8S8JyZ3VtjOTOxF8e/7EBYZO6/is9btjPFd0lc\nO7VpJ9rInX46SjvuoFIg6eeEOcVepqWZwsysU42PkdSfsBT0EkINC8K4jp6EGtYbjSpbPZHUz8zm\nSepN+Lt+0OgydRZcO66dmuy7g2ofSdOAbWoZYd5RSBoJvGFmk2uw8UVgq3j4nJndl0nhcoqkrQg1\nwb6EWuU8YLSZPdvQgnUCmkk7ULt+XDvZaseDJNLxFLAmVY4v6mB2BraW1MPM9q3GgJndD9yfbbFy\nzVXAqfF7I2lETNulkYXqJDSTdqBG/bh2stWOv0GlQNIkwmzMU6h98J2TMyQ9ZUXrE5VKcyrHtdO5\nqbd2/A0qHcXzTOUGSasCpwEbmtmxCssub2ZmVU/90wWZIenHhKYKgMMBHxeVDbnVDrh+MqCu2umW\nlaHOTIxImUaYxqQ38EKOIrzGEmqmn43Hc4D/a1xxmpJjgH6EENzbgHWALMeXdVlyrh1w/dRKXbXj\nTXwpkPRN4BfAJEJH4OeB75nZLY0sF4CkqWY2TK3Xy/HmKScX5Fk74PrJO97El46zgB3N7C0IoZXA\nP4A8iGyJpF7ENXLibMwft32J43QYedYOuH5yjTuodHQrCCzyNvlpHj0b+BswUNKNwK7AUQ0tkeO0\nkGftgOsn13gTXwok/YIQifSnmHQw8IyZfb9xpWpB0trAcEITyiNmNr/BRXIcIP/aAddPnnEHlZK4\nwNrnCA/xA2Z2e4OLBICkXYEnzWxRnPRxB+ASM3ulwUVrGiR9GriE0FH+H+Bh4BQzm9HQgnUS8qod\ncP3USr214w4qBXHJgLlmtjge9wL6m9mshhYslOVpYFtCLfV64BrgQDPbrc0LneVIegS4nJZa/ijg\npK4wyWm9ybN2wPVTK/XWTp7agvPMzbReKmBZTMsDS+MaLyOBS83sEkI4r5MemdkNZrY0bn8gdpo7\nNZNn7YDrp1bqqh0PkkhHj+RcYma2JM7mmwcWSjqTMEDuC3F1zJUaXKZm435JZwDjCOI6GPirpL4A\nZragkYVrcvKsHXD91EpdteNNfCmIa59cZmYT4vFI4GQz26OxJQNJ6wKHAlPM7EFJGwIjrGhRMqc8\nktoa+W5m9ukOK0wnI8/aAddPrdRbO+6gUhDHRtwIrB+T5gBHmtn0xpXKcfKPa8epBXdQFSBpdcJv\ntrDRZSkgaSEtbb49Cc0TH5jZGo0rVXMh6chS6V6Lzo48agdcP7VSb+14H1QKJP0MuMDM3o3HawGn\nmdmPGlsyMLNWHbqSDgB2alBxmpUdE/urAHsAjxOiupwayLN2wPWTAXXVjr9BpSA5T1ci7XEz26FR\nZWoLSY+Y2fBGl6NZkbQGcIMvCVE7zaYdcP3UQtba8TeodHSXtLKZfQzLx3Ks3OAyAcsHQRboRlhm\n2msdtfEhMKTRhegk5FY74PqpA5lqxx1UOv4A3CtpLOHhPQa4rrFFWs5XE/tLgVmEMR1OSiTdQcs/\npe7A5sD4xpWoU5Fn7YDrpybqrR1v4kuJpH0J7asC/m5mExtcJCcjJCVnDVgKvGJmcxpVns6Ga6fz\nUm/tuINqciRtAFxGmIXZgH8B3/V/sJUhqT8tHb6PFs3A7XRSXD+1U0/t+FRHKZA0XNIUSR9IWiJp\nmaT3G12uyFhgAmGcyQDgjpjmpCQuqvcocBDwTWCypG80tlSdg5xrB1w/NVFv7fgbVAokTSVMgngz\noRP1SGATMzuroQUDJD1pZtu1l+aUR9JTwJ7Fi+r5qqq1k2ftgOunVuqtHX+DSkkc+d7dzJaZ2Vjg\ni40uU2S+pMMldY/b4YRF4Zz05H1RvaYmx9oB10+t1FU7HsWXjg/jBJdPSroAmAus1uAyFTgG+DVw\ncTx+KKY56fmbpIm0XlTvrgaWpzORZ+2A66dW6qodb+JLgaSNgDcJU6GcAqwB/MbnE+s85HlRvWbG\ntdP5qad23EE1OYkVLYcTopB8NdgKiMsrTDSzLzW6LE7H4/qpno7Qjrezp0DSrpLukfT/JM0obI0u\nV+SPhIFx6xEikW6m5XXbaQczW0ZohvLJQetAzrUDrp+q6Qjt+BtUCiRNIzRPPEZYERQAM2t4Z6qk\nycXLK/tcYpUhaTyhBn0PsKiQbmYnN6xQnYQ8awdcP7VSb+14kEQ63jOzuxtdiDL4arC189e4OdmT\nZ+2A66dW6qodf4NKgaTzCPNM3QZ8XEg3s8cbVqiIrwbr5Jk8awdcP3nHHVQKJN0fdws/lggP7+4N\nKpKTAXH58Q3M7PJ4PBnoF09/38xuaVjhOgmunc5JR2nHHVQbSDq1sBs/DZgH/MvM2qp51R1JOwKz\nzeyNeHwk8HXgFWCMN020j6SHgFFmNjs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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c33ec18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2B+6OiPkRsYAsYeaoDuYZM6urzowps+6q1Wnmkt4FrEd2zcVGrEp30g/YooN1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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c767550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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T8/Dw8PCotvCdmIeHh4dHtYXvxDw8PDw8qi0qtRMTka1E5BkR+VREPhGRPUSk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\nFgRBEPQs8RALgiAIepZ4iAVBEAQ9y/8HE2+BXfbcn0MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c36f908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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j8ArzvAd8skT5HwA/KJI+GZhcJL1oHWZm1jw8k4SZmTUkBygzM2tIDlBmZtaQ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\nu5tOJgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c36f9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Il/jMzKwhOUCZmVlDcoAyM7OG5ABlZmYNqaYBStIwSbemQS3nSvqopM0lzU4D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\nSA5QZmbWkP4/gV+kGFJmE7kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c3f3390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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no3bxOY7jOA2ON1CO4zhOJvEGynEcx8kkHTJIotpIWhZY1cxebYONpcxsZhv9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c3f3320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HAnD++ec3GUhvacxsOmGcFoIbmYpdwDhJ/oC4O9rMFmdFyVj8bBOtZguxa/ycYmFia0lY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\nAQcBt8WgK4FNCd1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laqmt6CimqaqWal1HMW2zteRvUBEzOzPzPZ7YYwnmm88AvymS/Fzg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\nSQuUiIgUSQuUiIgUSQuUiIgU6RMYGpYXab9l6gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22cced128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MzKyUnKDMzKyUnKDMzKyUnKDMzKyUnKDMzKyUGkpQkm5upMzMGuOYMuta3TtJ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\nK36b4QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c4e20f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5gKq+KSJ/ByZhLsmOUdVFACJyLPAwto/UDar6Zi0KGLaqCagEoYMKCFgKoapP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\nbHFr3xLZDhl5vZoWhjnUPM4dI73w173/ZwNXuP/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Rf5Dh0hqjfi1wqZmtl9QtBk2/5PTw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\nEARBI/n/jDcMxPrvUUMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc22c961390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "EDA.count_categories(df_train, obj_features, df2=df_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ids = df.SK_ID_CURR.unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SK_ID_PREV</th>\n",
       "      <th>SK_ID_CURR</th>\n",
       "      <th>NAME_CONTRACT_TYPE</th>\n",
       "      <th>AMT_ANNUITY</th>\n",
       "      <th>AMT_APPLICATION</th>\n",
       "      <th>AMT_CREDIT</th>\n",
       "      <th>AMT_DOWN_PAYMENT</th>\n",
       "      <th>AMT_GOODS_PRICE</th>\n",
       "      <th>WEEKDAY_APPR_PROCESS_START</th>\n",
       "      <th>HOUR_APPR_PROCESS_START</th>\n",
       "      <th>FLAG_LAST_APPL_PER_CONTRACT</th>\n",
       "      <th>NFLAG_LAST_APPL_IN_DAY</th>\n",
       "      <th>RATE_DOWN_PAYMENT</th>\n",
       "      <th>RATE_INTEREST_PRIMARY</th>\n",
       "      <th>RATE_INTEREST_PRIVILEGED</th>\n",
       "      <th>NAME_CASH_LOAN_PURPOSE</th>\n",
       "      <th>NAME_CONTRACT_STATUS</th>\n",
       "      <th>DAYS_DECISION</th>\n",
       "      <th>NAME_PAYMENT_TYPE</th>\n",
       "      <th>CODE_REJECT_REASON</th>\n",
       "      <th>NAME_TYPE_SUITE</th>\n",
       "      <th>NAME_CLIENT_TYPE</th>\n",
       "      <th>NAME_GOODS_CATEGORY</th>\n",
       "      <th>NAME_PORTFOLIO</th>\n",
       "      <th>NAME_PRODUCT_TYPE</th>\n",
       "      <th>CHANNEL_TYPE</th>\n",
       "      <th>SELLERPLACE_AREA</th>\n",
       "      <th>NAME_SELLER_INDUSTRY</th>\n",
       "      <th>CNT_PAYMENT</th>\n",
       "      <th>NAME_YIELD_GROUP</th>\n",
       "      <th>PRODUCT_COMBINATION</th>\n",
       "      <th>DAYS_FIRST_DRAWING</th>\n",
       "      <th>DAYS_FIRST_DUE</th>\n",
       "      <th>DAYS_LAST_DUE_1ST_VERSION</th>\n",
       "      <th>DAYS_LAST_DUE</th>\n",
       "      <th>DAYS_TERMINATION</th>\n",
       "      <th>NFLAG_INSURED_ON_APPROVAL</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>365920</th>\n",
       "      <td>1299385</td>\n",
       "      <td>233573</td>\n",
       "      <td>Revolving loans</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>TUESDAY</td>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Canceled</td>\n",
       "      <td>-116</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Card Street</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1204654</th>\n",
       "      <td>2301069</td>\n",
       "      <td>233573</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>6424.875</td>\n",
       "      <td>78070.5</td>\n",
       "      <td>90436.5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>78070.5</td>\n",
       "      <td>SATURDAY</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-273</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Unaccompanied</td>\n",
       "      <td>New</td>\n",
       "      <td>Consumer Electronics</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Country-wide</td>\n",
       "      <td>2661</td>\n",
       "      <td>Consumer electronics</td>\n",
       "      <td>18.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS household with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-243.0</td>\n",
       "      <td>267.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         SK_ID_PREV  SK_ID_CURR NAME_CONTRACT_TYPE  AMT_ANNUITY  \\\n",
       "365920      1299385      233573    Revolving loans          NaN   \n",
       "1204654     2301069      233573     Consumer loans     6424.875   \n",
       "\n",
       "         AMT_APPLICATION  AMT_CREDIT  AMT_DOWN_PAYMENT  AMT_GOODS_PRICE  \\\n",
       "365920               0.0         0.0               NaN              NaN   \n",
       "1204654          78070.5     90436.5               0.0          78070.5   \n",
       "\n",
       "        WEEKDAY_APPR_PROCESS_START  HOUR_APPR_PROCESS_START  \\\n",
       "365920                     TUESDAY                        9   \n",
       "1204654                   SATURDAY                       10   \n",
       "\n",
       "         FLAG_LAST_APPL_PER_CONTRACT  NFLAG_LAST_APPL_IN_DAY  \\\n",
       "365920                             1                       1   \n",
       "1204654                            1                       1   \n",
       "\n",
       "         RATE_DOWN_PAYMENT  RATE_INTEREST_PRIMARY  RATE_INTEREST_PRIVILEGED  \\\n",
       "365920                 NaN                    NaN                       NaN   \n",
       "1204654                0.0                    NaN                       NaN   \n",
       "\n",
       "        NAME_CASH_LOAN_PURPOSE NAME_CONTRACT_STATUS  DAYS_DECISION  \\\n",
       "365920                     XAP             Canceled           -116   \n",
       "1204654                    XAP             Approved           -273   \n",
       "\n",
       "             NAME_PAYMENT_TYPE CODE_REJECT_REASON NAME_TYPE_SUITE  \\\n",
       "365920                     XNA                XAP             NaN   \n",
       "1204654  Cash through the bank                XAP   Unaccompanied   \n",
       "\n",
       "        NAME_CLIENT_TYPE   NAME_GOODS_CATEGORY NAME_PORTFOLIO  \\\n",
       "365920          Repeater                   XNA            XNA   \n",
       "1204654              New  Consumer Electronics            POS   \n",
       "\n",
       "        NAME_PRODUCT_TYPE             CHANNEL_TYPE  SELLERPLACE_AREA  \\\n",
       "365920                XNA  Credit and cash offices                -1   \n",
       "1204654               XNA             Country-wide              2661   \n",
       "\n",
       "         NAME_SELLER_INDUSTRY  CNT_PAYMENT NAME_YIELD_GROUP  \\\n",
       "365920                    XNA          NaN              XNA   \n",
       "1204654  Consumer electronics         18.0       low_normal   \n",
       "\n",
       "                 PRODUCT_COMBINATION  DAYS_FIRST_DRAWING  DAYS_FIRST_DUE  \\\n",
       "365920                   Card Street                 NaN             NaN   \n",
       "1204654  POS household with interest            365243.0          -243.0   \n",
       "\n",
       "         DAYS_LAST_DUE_1ST_VERSION  DAYS_LAST_DUE  DAYS_TERMINATION  \\\n",
       "365920                         NaN            NaN               NaN   \n",
       "1204654                      267.0       365243.0          365243.0   \n",
       "\n",
       "         NFLAG_INSURED_ON_APPROVAL  \n",
       "365920                         NaN  \n",
       "1204654                        1.0  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp = df[df.SK_ID_CURR==np.random.choice(ids)]\n",
    "tmp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SK_ID_PREV</th>\n",
       "      <th>SK_ID_CURR</th>\n",
       "      <th>NAME_CONTRACT_TYPE</th>\n",
       "      <th>AMT_ANNUITY</th>\n",
       "      <th>AMT_APPLICATION</th>\n",
       "      <th>AMT_CREDIT</th>\n",
       "      <th>AMT_DOWN_PAYMENT</th>\n",
       "      <th>AMT_GOODS_PRICE</th>\n",
       "      <th>WEEKDAY_APPR_PROCESS_START</th>\n",
       "      <th>HOUR_APPR_PROCESS_START</th>\n",
       "      <th>FLAG_LAST_APPL_PER_CONTRACT</th>\n",
       "      <th>NFLAG_LAST_APPL_IN_DAY</th>\n",
       "      <th>RATE_DOWN_PAYMENT</th>\n",
       "      <th>RATE_INTEREST_PRIMARY</th>\n",
       "      <th>RATE_INTEREST_PRIVILEGED</th>\n",
       "      <th>NAME_CASH_LOAN_PURPOSE</th>\n",
       "      <th>NAME_CONTRACT_STATUS</th>\n",
       "      <th>DAYS_DECISION</th>\n",
       "      <th>NAME_PAYMENT_TYPE</th>\n",
       "      <th>CODE_REJECT_REASON</th>\n",
       "      <th>NAME_TYPE_SUITE</th>\n",
       "      <th>NAME_CLIENT_TYPE</th>\n",
       "      <th>NAME_GOODS_CATEGORY</th>\n",
       "      <th>NAME_PORTFOLIO</th>\n",
       "      <th>NAME_PRODUCT_TYPE</th>\n",
       "      <th>CHANNEL_TYPE</th>\n",
       "      <th>SELLERPLACE_AREA</th>\n",
       "      <th>NAME_SELLER_INDUSTRY</th>\n",
       "      <th>CNT_PAYMENT</th>\n",
       "      <th>NAME_YIELD_GROUP</th>\n",
       "      <th>PRODUCT_COMBINATION</th>\n",
       "      <th>DAYS_FIRST_DRAWING</th>\n",
       "      <th>DAYS_FIRST_DUE</th>\n",
       "      <th>DAYS_LAST_DUE_1ST_VERSION</th>\n",
       "      <th>DAYS_LAST_DUE</th>\n",
       "      <th>DAYS_TERMINATION</th>\n",
       "      <th>NFLAG_INSURED_ON_APPROVAL</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>71327</th>\n",
       "      <td>2816415</td>\n",
       "      <td>140172</td>\n",
       "      <td>Revolving loans</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MONDAY</td>\n",
       "      <td>15</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Canceled</td>\n",
       "      <td>-323</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Card Street</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1077305</th>\n",
       "      <td>2844537</td>\n",
       "      <td>140172</td>\n",
       "      <td>Cash loans</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MONDAY</td>\n",
       "      <td>16</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Canceled</td>\n",
       "      <td>-323</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cash</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1095636</th>\n",
       "      <td>2071065</td>\n",
       "      <td>140172</td>\n",
       "      <td>Revolving loans</td>\n",
       "      <td>10125.000</td>\n",
       "      <td>202500.00</td>\n",
       "      <td>202500.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>202500.00</td>\n",
       "      <td>MONDAY</td>\n",
       "      <td>15</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-323</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Unaccompanied</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cards</td>\n",
       "      <td>x-sell</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>0.0</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Card X-Sell</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>559891</th>\n",
       "      <td>1887759</td>\n",
       "      <td>140172</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>7936.200</td>\n",
       "      <td>94500.00</td>\n",
       "      <td>83583.0</td>\n",
       "      <td>18900.00</td>\n",
       "      <td>94500.00</td>\n",
       "      <td>TUESDAY</td>\n",
       "      <td>13</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.200851</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-392</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Refreshed</td>\n",
       "      <td>Homewares</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>30</td>\n",
       "      <td>Construction</td>\n",
       "      <td>12.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS industry with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-333.0</td>\n",
       "      <td>-3.0</td>\n",
       "      <td>-303.0</td>\n",
       "      <td>-296.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1411986</th>\n",
       "      <td>2565884</td>\n",
       "      <td>140172</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>13712.940</td>\n",
       "      <td>117000.00</td>\n",
       "      <td>113989.5</td>\n",
       "      <td>11700.00</td>\n",
       "      <td>117000.00</td>\n",
       "      <td>FRIDAY</td>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.101380</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-2314</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Other_B</td>\n",
       "      <td>New</td>\n",
       "      <td>Computers</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>57</td>\n",
       "      <td>Consumer electronics</td>\n",
       "      <td>10.0</td>\n",
       "      <td>middle</td>\n",
       "      <td>POS household with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-2279.0</td>\n",
       "      <td>-2009.0</td>\n",
       "      <td>-2129.0</td>\n",
       "      <td>-2123.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>623924</th>\n",
       "      <td>1201303</td>\n",
       "      <td>144977</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>4070.880</td>\n",
       "      <td>25605.00</td>\n",
       "      <td>32404.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>25605.00</td>\n",
       "      <td>FRIDAY</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-1830</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Family</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>Audio/Video</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Country-wide</td>\n",
       "      <td>32</td>\n",
       "      <td>Connectivity</td>\n",
       "      <td>12.0</td>\n",
       "      <td>high</td>\n",
       "      <td>POS mobile with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-1799.0</td>\n",
       "      <td>-1469.0</td>\n",
       "      <td>-1499.0</td>\n",
       "      <td>-1492.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>865889</th>\n",
       "      <td>1890382</td>\n",
       "      <td>144977</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>4324.275</td>\n",
       "      <td>22810.50</td>\n",
       "      <td>21546.0</td>\n",
       "      <td>2281.50</td>\n",
       "      <td>22810.50</td>\n",
       "      <td>FRIDAY</td>\n",
       "      <td>16</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.104281</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-2460</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Children</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Country-wide</td>\n",
       "      <td>32</td>\n",
       "      <td>Connectivity</td>\n",
       "      <td>6.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS mobile with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-2429.0</td>\n",
       "      <td>-2279.0</td>\n",
       "      <td>-2279.0</td>\n",
       "      <td>-2269.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74706</th>\n",
       "      <td>1591892</td>\n",
       "      <td>174025</td>\n",
       "      <td>Revolving loans</td>\n",
       "      <td>2250.000</td>\n",
       "      <td>45000.00</td>\n",
       "      <td>45000.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>45000.00</td>\n",
       "      <td>THURSDAY</td>\n",
       "      <td>15</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-232</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Unaccompanied</td>\n",
       "      <td>New</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cards</td>\n",
       "      <td>walk-in</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>0.0</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Card Street</td>\n",
       "      <td>-232.0</td>\n",
       "      <td>-190.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>605851</th>\n",
       "      <td>1124055</td>\n",
       "      <td>174025</td>\n",
       "      <td>Revolving loans</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>THURSDAY</td>\n",
       "      <td>15</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Canceled</td>\n",
       "      <td>-232</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>New</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Card Street</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>678277</th>\n",
       "      <td>1593325</td>\n",
       "      <td>278032</td>\n",
       "      <td>Revolving loans</td>\n",
       "      <td>6750.000</td>\n",
       "      <td>135000.00</td>\n",
       "      <td>135000.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>135000.00</td>\n",
       "      <td>SATURDAY</td>\n",
       "      <td>13</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-178</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Unaccompanied</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cards</td>\n",
       "      <td>x-sell</td>\n",
       "      <td>AP+ (Cash loan)</td>\n",
       "      <td>100</td>\n",
       "      <td>XNA</td>\n",
       "      <td>0.0</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Card X-Sell</td>\n",
       "      <td>-178.0</td>\n",
       "      <td>-137.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>949385</th>\n",
       "      <td>1821662</td>\n",
       "      <td>278032</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>4199.895</td>\n",
       "      <td>44995.50</td>\n",
       "      <td>44995.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>44995.50</td>\n",
       "      <td>FRIDAY</td>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-326</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Unaccompanied</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>Consumer Electronics</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>62</td>\n",
       "      <td>Consumer electronics</td>\n",
       "      <td>12.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS household with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-295.0</td>\n",
       "      <td>35.0</td>\n",
       "      <td>-175.0</td>\n",
       "      <td>-170.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1181779</th>\n",
       "      <td>2134576</td>\n",
       "      <td>278032</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>6155.100</td>\n",
       "      <td>31495.50</td>\n",
       "      <td>33160.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>31495.50</td>\n",
       "      <td>TUESDAY</td>\n",
       "      <td>14</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-588</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>New</td>\n",
       "      <td>Consumer Electronics</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>62</td>\n",
       "      <td>Consumer electronics</td>\n",
       "      <td>6.0</td>\n",
       "      <td>middle</td>\n",
       "      <td>POS household with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-557.0</td>\n",
       "      <td>-407.0</td>\n",
       "      <td>-407.0</td>\n",
       "      <td>-401.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1247900</th>\n",
       "      <td>1623417</td>\n",
       "      <td>291356</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>10332.000</td>\n",
       "      <td>157500.00</td>\n",
       "      <td>157500.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>157500.00</td>\n",
       "      <td>WEDNESDAY</td>\n",
       "      <td>11</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-861</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>New</td>\n",
       "      <td>Construction Materials</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>30</td>\n",
       "      <td>Construction</td>\n",
       "      <td>18.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS industry with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-824.0</td>\n",
       "      <td>-314.0</td>\n",
       "      <td>-314.0</td>\n",
       "      <td>-297.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>663844</th>\n",
       "      <td>2800901</td>\n",
       "      <td>341498</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>16766.280</td>\n",
       "      <td>150475.50</td>\n",
       "      <td>166365.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>150475.50</td>\n",
       "      <td>THURSDAY</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-57</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Spouse, partner</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>Furniture</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Regional / Local</td>\n",
       "      <td>2000</td>\n",
       "      <td>Furniture</td>\n",
       "      <td>12.0</td>\n",
       "      <td>middle</td>\n",
       "      <td>POS industry with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-26.0</td>\n",
       "      <td>304.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>799358</th>\n",
       "      <td>2093153</td>\n",
       "      <td>341498</td>\n",
       "      <td>Cash loans</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>FRIDAY</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Canceled</td>\n",
       "      <td>-280</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cash</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>674911</th>\n",
       "      <td>2640005</td>\n",
       "      <td>341498</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>38690.190</td>\n",
       "      <td>348372.00</td>\n",
       "      <td>367533.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>348372.00</td>\n",
       "      <td>FRIDAY</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-448</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>Furniture</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Regional / Local</td>\n",
       "      <td>2000</td>\n",
       "      <td>Furniture</td>\n",
       "      <td>10.0</td>\n",
       "      <td>low_action</td>\n",
       "      <td>POS industry without interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-415.0</td>\n",
       "      <td>-145.0</td>\n",
       "      <td>-145.0</td>\n",
       "      <td>-138.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1068472</th>\n",
       "      <td>2463494</td>\n",
       "      <td>341498</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>18584.010</td>\n",
       "      <td>359667.00</td>\n",
       "      <td>359667.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>359667.00</td>\n",
       "      <td>WEDNESDAY</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-667</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>New</td>\n",
       "      <td>Homewares</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Country-wide</td>\n",
       "      <td>79</td>\n",
       "      <td>Construction</td>\n",
       "      <td>24.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS other with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-636.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1432321</th>\n",
       "      <td>1315049</td>\n",
       "      <td>391217</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>7069.140</td>\n",
       "      <td>57586.50</td>\n",
       "      <td>51826.5</td>\n",
       "      <td>5760.00</td>\n",
       "      <td>57586.50</td>\n",
       "      <td>TUESDAY</td>\n",
       "      <td>14</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.108935</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-1546</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Family</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Regional / Local</td>\n",
       "      <td>15</td>\n",
       "      <td>Connectivity</td>\n",
       "      <td>10.0</td>\n",
       "      <td>high</td>\n",
       "      <td>POS mobile with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-1508.0</td>\n",
       "      <td>-1238.0</td>\n",
       "      <td>-1238.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>707266</th>\n",
       "      <td>1059740</td>\n",
       "      <td>391217</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>11720.250</td>\n",
       "      <td>104400.00</td>\n",
       "      <td>97425.0</td>\n",
       "      <td>14400.00</td>\n",
       "      <td>104400.00</td>\n",
       "      <td>TUESDAY</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.140245</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-1980</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>Computers</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>30</td>\n",
       "      <td>Consumer electronics</td>\n",
       "      <td>10.0</td>\n",
       "      <td>middle</td>\n",
       "      <td>POS household with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-1947.0</td>\n",
       "      <td>-1677.0</td>\n",
       "      <td>-1677.0</td>\n",
       "      <td>-1667.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>742222</th>\n",
       "      <td>1371023</td>\n",
       "      <td>391217</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>11300.355</td>\n",
       "      <td>104400.00</td>\n",
       "      <td>101713.5</td>\n",
       "      <td>10440.00</td>\n",
       "      <td>104400.00</td>\n",
       "      <td>TUESDAY</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.101380</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Refused</td>\n",
       "      <td>-1980</td>\n",
       "      <td>XNA</td>\n",
       "      <td>LIMIT</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>Computers</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>30</td>\n",
       "      <td>Consumer electronics</td>\n",
       "      <td>10.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS household with interest</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1160649</th>\n",
       "      <td>2478651</td>\n",
       "      <td>397461</td>\n",
       "      <td>Cash loans</td>\n",
       "      <td>19911.150</td>\n",
       "      <td>454500.00</td>\n",
       "      <td>519313.5</td>\n",
       "      <td>NaN</td>\n",
       "      <td>454500.00</td>\n",
       "      <td>SATURDAY</td>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-331</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Family</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cash</td>\n",
       "      <td>x-sell</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>36.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>Cash X-Sell: low</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-301.0</td>\n",
       "      <td>749.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1429572</th>\n",
       "      <td>1733516</td>\n",
       "      <td>397461</td>\n",
       "      <td>Cash loans</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>SATURDAY</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Canceled</td>\n",
       "      <td>-331</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cash</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1160648</th>\n",
       "      <td>1073522</td>\n",
       "      <td>397461</td>\n",
       "      <td>Cash loans</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>THURSDAY</td>\n",
       "      <td>14</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Canceled</td>\n",
       "      <td>-333</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Credit and cash offices</td>\n",
       "      <td>-1</td>\n",
       "      <td>XNA</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cash</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14881</th>\n",
       "      <td>1895659</td>\n",
       "      <td>397461</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>9312.615</td>\n",
       "      <td>122625.00</td>\n",
       "      <td>142047.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>122625.00</td>\n",
       "      <td>SUNDAY</td>\n",
       "      <td>12</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-834</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Family</td>\n",
       "      <td>Refreshed</td>\n",
       "      <td>Furniture</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>8</td>\n",
       "      <td>Furniture</td>\n",
       "      <td>18.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS industry with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-802.0</td>\n",
       "      <td>-292.0</td>\n",
       "      <td>-292.0</td>\n",
       "      <td>-288.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>722056</th>\n",
       "      <td>1338108</td>\n",
       "      <td>397461</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>3754.485</td>\n",
       "      <td>34137.00</td>\n",
       "      <td>33763.5</td>\n",
       "      <td>3415.50</td>\n",
       "      <td>34137.00</td>\n",
       "      <td>TUESDAY</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.100051</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-2687</td>\n",
       "      <td>XNA</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Family</td>\n",
       "      <td>New</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Country-wide</td>\n",
       "      <td>38</td>\n",
       "      <td>Connectivity</td>\n",
       "      <td>12.0</td>\n",
       "      <td>high</td>\n",
       "      <td>POS mobile with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-2656.0</td>\n",
       "      <td>-2326.0</td>\n",
       "      <td>-2326.0</td>\n",
       "      <td>-2318.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>566689</th>\n",
       "      <td>2754514</td>\n",
       "      <td>428606</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>6717.015</td>\n",
       "      <td>69880.50</td>\n",
       "      <td>37012.5</td>\n",
       "      <td>34942.50</td>\n",
       "      <td>69880.50</td>\n",
       "      <td>SATURDAY</td>\n",
       "      <td>14</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.528880</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-116</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Unaccompanied</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>Consumer Electronics</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Country-wide</td>\n",
       "      <td>1000</td>\n",
       "      <td>Consumer electronics</td>\n",
       "      <td>6.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS household with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-86.0</td>\n",
       "      <td>64.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1035887</th>\n",
       "      <td>2176783</td>\n",
       "      <td>428606</td>\n",
       "      <td>Revolving loans</td>\n",
       "      <td>2250.000</td>\n",
       "      <td>45000.00</td>\n",
       "      <td>45000.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>45000.00</td>\n",
       "      <td>SATURDAY</td>\n",
       "      <td>14</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Refused</td>\n",
       "      <td>-116</td>\n",
       "      <td>XNA</td>\n",
       "      <td>SCO</td>\n",
       "      <td>Unaccompanied</td>\n",
       "      <td>Repeater</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Cards</td>\n",
       "      <td>walk-in</td>\n",
       "      <td>Country-wide</td>\n",
       "      <td>1000</td>\n",
       "      <td>Consumer electronics</td>\n",
       "      <td>0.0</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Card Street</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>736861</th>\n",
       "      <td>1143888</td>\n",
       "      <td>428606</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>18989.010</td>\n",
       "      <td>189875.34</td>\n",
       "      <td>170887.5</td>\n",
       "      <td>18987.84</td>\n",
       "      <td>189875.34</td>\n",
       "      <td>WEDNESDAY</td>\n",
       "      <td>12</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.108911</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-553</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Refreshed</td>\n",
       "      <td>Construction Materials</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>18</td>\n",
       "      <td>Construction</td>\n",
       "      <td>10.0</td>\n",
       "      <td>low_normal</td>\n",
       "      <td>POS industry with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-521.0</td>\n",
       "      <td>-251.0</td>\n",
       "      <td>-251.0</td>\n",
       "      <td>-248.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1665832</th>\n",
       "      <td>1600402</td>\n",
       "      <td>428606</td>\n",
       "      <td>Consumer loans</td>\n",
       "      <td>17782.335</td>\n",
       "      <td>103500.00</td>\n",
       "      <td>93150.0</td>\n",
       "      <td>10350.00</td>\n",
       "      <td>103500.00</td>\n",
       "      <td>SUNDAY</td>\n",
       "      <td>12</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0.108909</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Approved</td>\n",
       "      <td>-1928</td>\n",
       "      <td>Cash through the bank</td>\n",
       "      <td>XAP</td>\n",
       "      <td>Unaccompanied</td>\n",
       "      <td>Refreshed</td>\n",
       "      <td>Clothing and Accessories</td>\n",
       "      <td>POS</td>\n",
       "      <td>XNA</td>\n",
       "      <td>Stone</td>\n",
       "      <td>108</td>\n",
       "      <td>Clothing</td>\n",
       "      <td>6.0</td>\n",
       "      <td>middle</td>\n",
       "      <td>POS industry with interest</td>\n",
       "      <td>365243.0</td>\n",
       "      <td>-1897.0</td>\n",
       "      <td>-1747.0</td>\n",
       "      <td>-1807.0</td>\n",
       "      <td>-1802.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         SK_ID_PREV  SK_ID_CURR NAME_CONTRACT_TYPE  AMT_ANNUITY  \\\n",
       "71327       2816415      140172    Revolving loans          NaN   \n",
       "1077305     2844537      140172         Cash loans          NaN   \n",
       "1095636     2071065      140172    Revolving loans    10125.000   \n",
       "559891      1887759      140172     Consumer loans     7936.200   \n",
       "1411986     2565884      140172     Consumer loans    13712.940   \n",
       "623924      1201303      144977     Consumer loans     4070.880   \n",
       "865889      1890382      144977     Consumer loans     4324.275   \n",
       "74706       1591892      174025    Revolving loans     2250.000   \n",
       "605851      1124055      174025    Revolving loans          NaN   \n",
       "678277      1593325      278032    Revolving loans     6750.000   \n",
       "949385      1821662      278032     Consumer loans     4199.895   \n",
       "1181779     2134576      278032     Consumer loans     6155.100   \n",
       "1247900     1623417      291356     Consumer loans    10332.000   \n",
       "663844      2800901      341498     Consumer loans    16766.280   \n",
       "799358      2093153      341498         Cash loans          NaN   \n",
       "674911      2640005      341498     Consumer loans    38690.190   \n",
       "1068472     2463494      341498     Consumer loans    18584.010   \n",
       "1432321     1315049      391217     Consumer loans     7069.140   \n",
       "707266      1059740      391217     Consumer loans    11720.250   \n",
       "742222      1371023      391217     Consumer loans    11300.355   \n",
       "1160649     2478651      397461         Cash loans    19911.150   \n",
       "1429572     1733516      397461         Cash loans          NaN   \n",
       "1160648     1073522      397461         Cash loans          NaN   \n",
       "14881       1895659      397461     Consumer loans     9312.615   \n",
       "722056      1338108      397461     Consumer loans     3754.485   \n",
       "566689      2754514      428606     Consumer loans     6717.015   \n",
       "1035887     2176783      428606    Revolving loans     2250.000   \n",
       "736861      1143888      428606     Consumer loans    18989.010   \n",
       "1665832     1600402      428606     Consumer loans    17782.335   \n",
       "\n",
       "         AMT_APPLICATION  AMT_CREDIT  AMT_DOWN_PAYMENT  AMT_GOODS_PRICE  \\\n",
       "71327               0.00         0.0               NaN              NaN   \n",
       "1077305             0.00         0.0               NaN              NaN   \n",
       "1095636        202500.00    202500.0               NaN        202500.00   \n",
       "559891          94500.00     83583.0          18900.00         94500.00   \n",
       "1411986        117000.00    113989.5          11700.00        117000.00   \n",
       "623924          25605.00     32404.5              0.00         25605.00   \n",
       "865889          22810.50     21546.0           2281.50         22810.50   \n",
       "74706           45000.00     45000.0               NaN         45000.00   \n",
       "605851              0.00         0.0               NaN              NaN   \n",
       "678277         135000.00    135000.0               NaN        135000.00   \n",
       "949385          44995.50     44995.5              0.00         44995.50   \n",
       "1181779         31495.50     33160.5              0.00         31495.50   \n",
       "1247900        157500.00    157500.0              0.00        157500.00   \n",
       "663844         150475.50    166365.0              0.00        150475.50   \n",
       "799358              0.00         0.0               NaN              NaN   \n",
       "674911         348372.00    367533.0              0.00        348372.00   \n",
       "1068472        359667.00    359667.0              0.00        359667.00   \n",
       "1432321         57586.50     51826.5           5760.00         57586.50   \n",
       "707266         104400.00     97425.0          14400.00        104400.00   \n",
       "742222         104400.00    101713.5          10440.00        104400.00   \n",
       "1160649        454500.00    519313.5               NaN        454500.00   \n",
       "1429572             0.00         0.0               NaN              NaN   \n",
       "1160648             0.00         0.0               NaN              NaN   \n",
       "14881          122625.00    142047.0              0.00        122625.00   \n",
       "722056          34137.00     33763.5           3415.50         34137.00   \n",
       "566689          69880.50     37012.5          34942.50         69880.50   \n",
       "1035887         45000.00     45000.0               NaN         45000.00   \n",
       "736861         189875.34    170887.5          18987.84        189875.34   \n",
       "1665832        103500.00     93150.0          10350.00        103500.00   \n",
       "\n",
       "        WEEKDAY_APPR_PROCESS_START  HOUR_APPR_PROCESS_START  \\\n",
       "71327                       MONDAY                       15   \n",
       "1077305                     MONDAY                       16   \n",
       "1095636                     MONDAY                       15   \n",
       "559891                     TUESDAY                       13   \n",
       "1411986                     FRIDAY                       11   \n",
       "623924                      FRIDAY                       10   \n",
       "865889                      FRIDAY                       16   \n",
       "74706                     THURSDAY                       15   \n",
       "605851                    THURSDAY                       15   \n",
       "678277                    SATURDAY                       13   \n",
       "949385                      FRIDAY                       11   \n",
       "1181779                    TUESDAY                       14   \n",
       "1247900                  WEDNESDAY                       11   \n",
       "663844                    THURSDAY                       10   \n",
       "799358                      FRIDAY                        5   \n",
       "674911                      FRIDAY                        8   \n",
       "1068472                  WEDNESDAY                        5   \n",
       "1432321                    TUESDAY                       14   \n",
       "707266                     TUESDAY                       10   \n",
       "742222                     TUESDAY                       10   \n",
       "1160649                   SATURDAY                        9   \n",
       "1429572                   SATURDAY                        8   \n",
       "1160648                   THURSDAY                       14   \n",
       "14881                       SUNDAY                       12   \n",
       "722056                     TUESDAY                       10   \n",
       "566689                    SATURDAY                       14   \n",
       "1035887                   SATURDAY                       14   \n",
       "736861                   WEDNESDAY                       12   \n",
       "1665832                     SUNDAY                       12   \n",
       "\n",
       "         FLAG_LAST_APPL_PER_CONTRACT  NFLAG_LAST_APPL_IN_DAY  \\\n",
       "71327                              1                       1   \n",
       "1077305                            1                       1   \n",
       "1095636                            1                       1   \n",
       "559891                             1                       1   \n",
       "1411986                            1                       1   \n",
       "623924                             1                       1   \n",
       "865889                             1                       1   \n",
       "74706                              1                       1   \n",
       "605851                             1                       1   \n",
       "678277                             1                       1   \n",
       "949385                             1                       1   \n",
       "1181779                            1                       1   \n",
       "1247900                            1                       1   \n",
       "663844                             1                       1   \n",
       "799358                             1                       1   \n",
       "674911                             1                       1   \n",
       "1068472                            1                       1   \n",
       "1432321                            1                       1   \n",
       "707266                             1                       1   \n",
       "742222                             1                       1   \n",
       "1160649                            1                       1   \n",
       "1429572                            1                       1   \n",
       "1160648                            1                       1   \n",
       "14881                              1                       1   \n",
       "722056                             1                       1   \n",
       "566689                             1                       1   \n",
       "1035887                            1                       1   \n",
       "736861                             1                       1   \n",
       "1665832                            1                       1   \n",
       "\n",
       "         RATE_DOWN_PAYMENT  RATE_INTEREST_PRIMARY  RATE_INTEREST_PRIVILEGED  \\\n",
       "71327                  NaN                    NaN                       NaN   \n",
       "1077305                NaN                    NaN                       NaN   \n",
       "1095636                NaN                    NaN                       NaN   \n",
       "559891            0.200851                    NaN                       NaN   \n",
       "1411986           0.101380                    NaN                       NaN   \n",
       "623924            0.000000                    NaN                       NaN   \n",
       "865889            0.104281                    NaN                       NaN   \n",
       "74706                  NaN                    NaN                       NaN   \n",
       "605851                 NaN                    NaN                       NaN   \n",
       "678277                 NaN                    NaN                       NaN   \n",
       "949385            0.000000                    NaN                       NaN   \n",
       "1181779           0.000000                    NaN                       NaN   \n",
       "1247900           0.000000                    NaN                       NaN   \n",
       "663844            0.000000                    NaN                       NaN   \n",
       "799358                 NaN                    NaN                       NaN   \n",
       "674911            0.000000                    NaN                       NaN   \n",
       "1068472           0.000000                    NaN                       NaN   \n",
       "1432321           0.108935                    NaN                       NaN   \n",
       "707266            0.140245                    NaN                       NaN   \n",
       "742222            0.101380                    NaN                       NaN   \n",
       "1160649                NaN                    NaN                       NaN   \n",
       "1429572                NaN                    NaN                       NaN   \n",
       "1160648                NaN                    NaN                       NaN   \n",
       "14881             0.000000                    NaN                       NaN   \n",
       "722056            0.100051                    NaN                       NaN   \n",
       "566689            0.528880                    NaN                       NaN   \n",
       "1035887                NaN                    NaN                       NaN   \n",
       "736861            0.108911                    NaN                       NaN   \n",
       "1665832           0.108909                    NaN                       NaN   \n",
       "\n",
       "        NAME_CASH_LOAN_PURPOSE NAME_CONTRACT_STATUS  DAYS_DECISION  \\\n",
       "71327                      XAP             Canceled           -323   \n",
       "1077305                    XNA             Canceled           -323   \n",
       "1095636                    XAP             Approved           -323   \n",
       "559891                     XAP             Approved           -392   \n",
       "1411986                    XAP             Approved          -2314   \n",
       "623924                     XAP             Approved          -1830   \n",
       "865889                     XAP             Approved          -2460   \n",
       "74706                      XAP             Approved           -232   \n",
       "605851                     XAP             Canceled           -232   \n",
       "678277                     XAP             Approved           -178   \n",
       "949385                     XAP             Approved           -326   \n",
       "1181779                    XAP             Approved           -588   \n",
       "1247900                    XAP             Approved           -861   \n",
       "663844                     XAP             Approved            -57   \n",
       "799358                     XNA             Canceled           -280   \n",
       "674911                     XAP             Approved           -448   \n",
       "1068472                    XAP             Approved           -667   \n",
       "1432321                    XAP             Approved          -1546   \n",
       "707266                     XAP             Approved          -1980   \n",
       "742222                     XAP              Refused          -1980   \n",
       "1160649                    XNA             Approved           -331   \n",
       "1429572                    XNA             Canceled           -331   \n",
       "1160648                    XNA             Canceled           -333   \n",
       "14881                      XAP             Approved           -834   \n",
       "722056                     XAP             Approved          -2687   \n",
       "566689                     XAP             Approved           -116   \n",
       "1035887                    XAP              Refused           -116   \n",
       "736861                     XAP             Approved           -553   \n",
       "1665832                    XAP             Approved          -1928   \n",
       "\n",
       "             NAME_PAYMENT_TYPE CODE_REJECT_REASON  NAME_TYPE_SUITE  \\\n",
       "71327                      XNA                XAP              NaN   \n",
       "1077305                    XNA                XAP              NaN   \n",
       "1095636                    XNA                XAP    Unaccompanied   \n",
       "559891                     XNA                XAP              NaN   \n",
       "1411986  Cash through the bank                XAP          Other_B   \n",
       "623924   Cash through the bank                XAP           Family   \n",
       "865889   Cash through the bank                XAP         Children   \n",
       "74706                      XNA                XAP    Unaccompanied   \n",
       "605851                     XNA                XAP              NaN   \n",
       "678277                     XNA                XAP    Unaccompanied   \n",
       "949385   Cash through the bank                XAP    Unaccompanied   \n",
       "1181779  Cash through the bank                XAP              NaN   \n",
       "1247900  Cash through the bank                XAP              NaN   \n",
       "663844                     XNA                XAP  Spouse, partner   \n",
       "799358                     XNA                XAP              NaN   \n",
       "674911                     XNA                XAP              NaN   \n",
       "1068472                    XNA                XAP              NaN   \n",
       "1432321  Cash through the bank                XAP           Family   \n",
       "707266                     XNA                XAP              NaN   \n",
       "742222                     XNA              LIMIT              NaN   \n",
       "1160649  Cash through the bank                XAP           Family   \n",
       "1429572                    XNA                XAP              NaN   \n",
       "1160648                    XNA                XAP              NaN   \n",
       "14881    Cash through the bank                XAP           Family   \n",
       "722056                     XNA                XAP           Family   \n",
       "566689   Cash through the bank                XAP    Unaccompanied   \n",
       "1035887                    XNA                SCO    Unaccompanied   \n",
       "736861   Cash through the bank                XAP              NaN   \n",
       "1665832  Cash through the bank                XAP    Unaccompanied   \n",
       "\n",
       "        NAME_CLIENT_TYPE       NAME_GOODS_CATEGORY NAME_PORTFOLIO  \\\n",
       "71327           Repeater                       XNA            XNA   \n",
       "1077305         Repeater                       XNA            XNA   \n",
       "1095636         Repeater                       XNA          Cards   \n",
       "559891         Refreshed                 Homewares            POS   \n",
       "1411986              New                 Computers            POS   \n",
       "623924          Repeater               Audio/Video            POS   \n",
       "865889          Repeater                    Mobile            POS   \n",
       "74706                New                       XNA          Cards   \n",
       "605851               New                       XNA            XNA   \n",
       "678277          Repeater                       XNA          Cards   \n",
       "949385          Repeater      Consumer Electronics            POS   \n",
       "1181779              New      Consumer Electronics            POS   \n",
       "1247900              New    Construction Materials            POS   \n",
       "663844          Repeater                 Furniture            POS   \n",
       "799358          Repeater                       XNA            XNA   \n",
       "674911          Repeater                 Furniture            POS   \n",
       "1068472              New                 Homewares            POS   \n",
       "1432321         Repeater                    Mobile            POS   \n",
       "707266          Repeater                 Computers            POS   \n",
       "742222          Repeater                 Computers            POS   \n",
       "1160649         Repeater                       XNA           Cash   \n",
       "1429572         Repeater                       XNA            XNA   \n",
       "1160648         Repeater                       XNA            XNA   \n",
       "14881          Refreshed                 Furniture            POS   \n",
       "722056               New                    Mobile            POS   \n",
       "566689          Repeater      Consumer Electronics            POS   \n",
       "1035887         Repeater                       XNA          Cards   \n",
       "736861         Refreshed    Construction Materials            POS   \n",
       "1665832        Refreshed  Clothing and Accessories            POS   \n",
       "\n",
       "        NAME_PRODUCT_TYPE             CHANNEL_TYPE  SELLERPLACE_AREA  \\\n",
       "71327                 XNA  Credit and cash offices                -1   \n",
       "1077305               XNA  Credit and cash offices                -1   \n",
       "1095636            x-sell  Credit and cash offices                -1   \n",
       "559891                XNA                    Stone                30   \n",
       "1411986               XNA                    Stone                57   \n",
       "623924                XNA             Country-wide                32   \n",
       "865889                XNA             Country-wide                32   \n",
       "74706             walk-in  Credit and cash offices                -1   \n",
       "605851                XNA  Credit and cash offices                -1   \n",
       "678277             x-sell          AP+ (Cash loan)               100   \n",
       "949385                XNA                    Stone                62   \n",
       "1181779               XNA                    Stone                62   \n",
       "1247900               XNA                    Stone                30   \n",
       "663844                XNA         Regional / Local              2000   \n",
       "799358                XNA  Credit and cash offices                -1   \n",
       "674911                XNA         Regional / Local              2000   \n",
       "1068472               XNA             Country-wide                79   \n",
       "1432321               XNA         Regional / Local                15   \n",
       "707266                XNA                    Stone                30   \n",
       "742222                XNA                    Stone                30   \n",
       "1160649            x-sell  Credit and cash offices                -1   \n",
       "1429572               XNA  Credit and cash offices                -1   \n",
       "1160648               XNA  Credit and cash offices                -1   \n",
       "14881                 XNA                    Stone                 8   \n",
       "722056                XNA             Country-wide                38   \n",
       "566689                XNA             Country-wide              1000   \n",
       "1035887           walk-in             Country-wide              1000   \n",
       "736861                XNA                    Stone                18   \n",
       "1665832               XNA                    Stone               108   \n",
       "\n",
       "         NAME_SELLER_INDUSTRY  CNT_PAYMENT NAME_YIELD_GROUP  \\\n",
       "71327                     XNA          NaN              XNA   \n",
       "1077305                   XNA          NaN              XNA   \n",
       "1095636                   XNA          0.0              XNA   \n",
       "559891           Construction         12.0       low_normal   \n",
       "1411986  Consumer electronics         10.0           middle   \n",
       "623924           Connectivity         12.0             high   \n",
       "865889           Connectivity          6.0       low_normal   \n",
       "74706                     XNA          0.0              XNA   \n",
       "605851                    XNA          NaN              XNA   \n",
       "678277                    XNA          0.0              XNA   \n",
       "949385   Consumer electronics         12.0       low_normal   \n",
       "1181779  Consumer electronics          6.0           middle   \n",
       "1247900          Construction         18.0       low_normal   \n",
       "663844              Furniture         12.0           middle   \n",
       "799358                    XNA          NaN              XNA   \n",
       "674911              Furniture         10.0       low_action   \n",
       "1068472          Construction         24.0       low_normal   \n",
       "1432321          Connectivity         10.0             high   \n",
       "707266   Consumer electronics         10.0           middle   \n",
       "742222   Consumer electronics         10.0       low_normal   \n",
       "1160649                   XNA         36.0       low_normal   \n",
       "1429572                   XNA          NaN              XNA   \n",
       "1160648                   XNA          NaN              XNA   \n",
       "14881               Furniture         18.0       low_normal   \n",
       "722056           Connectivity         12.0             high   \n",
       "566689   Consumer electronics          6.0       low_normal   \n",
       "1035887  Consumer electronics          0.0              XNA   \n",
       "736861           Construction         10.0       low_normal   \n",
       "1665832              Clothing          6.0           middle   \n",
       "\n",
       "                   PRODUCT_COMBINATION  DAYS_FIRST_DRAWING  DAYS_FIRST_DUE  \\\n",
       "71327                      Card Street                 NaN             NaN   \n",
       "1077305                           Cash                 NaN             NaN   \n",
       "1095636                    Card X-Sell            365243.0        365243.0   \n",
       "559891      POS industry with interest            365243.0          -333.0   \n",
       "1411986    POS household with interest            365243.0         -2279.0   \n",
       "623924        POS mobile with interest            365243.0         -1799.0   \n",
       "865889        POS mobile with interest            365243.0         -2429.0   \n",
       "74706                      Card Street              -232.0          -190.0   \n",
       "605851                     Card Street                 NaN             NaN   \n",
       "678277                     Card X-Sell              -178.0          -137.0   \n",
       "949385     POS household with interest            365243.0          -295.0   \n",
       "1181779    POS household with interest            365243.0          -557.0   \n",
       "1247900     POS industry with interest            365243.0          -824.0   \n",
       "663844      POS industry with interest            365243.0           -26.0   \n",
       "799358                            Cash                 NaN             NaN   \n",
       "674911   POS industry without interest            365243.0          -415.0   \n",
       "1068472        POS other with interest            365243.0          -636.0   \n",
       "1432321       POS mobile with interest            365243.0         -1508.0   \n",
       "707266     POS household with interest            365243.0         -1947.0   \n",
       "742222     POS household with interest                 NaN             NaN   \n",
       "1160649               Cash X-Sell: low            365243.0          -301.0   \n",
       "1429572                           Cash                 NaN             NaN   \n",
       "1160648                           Cash                 NaN             NaN   \n",
       "14881       POS industry with interest            365243.0          -802.0   \n",
       "722056        POS mobile with interest            365243.0         -2656.0   \n",
       "566689     POS household with interest            365243.0           -86.0   \n",
       "1035887                    Card Street                 NaN             NaN   \n",
       "736861      POS industry with interest            365243.0          -521.0   \n",
       "1665832     POS industry with interest            365243.0         -1897.0   \n",
       "\n",
       "         DAYS_LAST_DUE_1ST_VERSION  DAYS_LAST_DUE  DAYS_TERMINATION  \\\n",
       "71327                          NaN            NaN               NaN   \n",
       "1077305                        NaN            NaN               NaN   \n",
       "1095636                   365243.0       365243.0          365243.0   \n",
       "559891                        -3.0         -303.0            -296.0   \n",
       "1411986                    -2009.0        -2129.0           -2123.0   \n",
       "623924                     -1469.0        -1499.0           -1492.0   \n",
       "865889                     -2279.0        -2279.0           -2269.0   \n",
       "74706                     365243.0       365243.0          365243.0   \n",
       "605851                         NaN            NaN               NaN   \n",
       "678277                    365243.0       365243.0          365243.0   \n",
       "949385                        35.0         -175.0            -170.0   \n",
       "1181779                     -407.0         -407.0            -401.0   \n",
       "1247900                     -314.0         -314.0            -297.0   \n",
       "663844                       304.0       365243.0          365243.0   \n",
       "799358                         NaN            NaN               NaN   \n",
       "674911                      -145.0         -145.0            -138.0   \n",
       "1068472                       54.0       365243.0          365243.0   \n",
       "1432321                    -1238.0        -1238.0          365243.0   \n",
       "707266                     -1677.0        -1677.0           -1667.0   \n",
       "742222                         NaN            NaN               NaN   \n",
       "1160649                      749.0       365243.0          365243.0   \n",
       "1429572                        NaN            NaN               NaN   \n",
       "1160648                        NaN            NaN               NaN   \n",
       "14881                       -292.0         -292.0            -288.0   \n",
       "722056                     -2326.0        -2326.0           -2318.0   \n",
       "566689                        64.0       365243.0          365243.0   \n",
       "1035887                        NaN            NaN               NaN   \n",
       "736861                      -251.0         -251.0            -248.0   \n",
       "1665832                    -1747.0        -1807.0           -1802.0   \n",
       "\n",
       "         NFLAG_INSURED_ON_APPROVAL  \n",
       "71327                          NaN  \n",
       "1077305                        NaN  \n",
       "1095636                        0.0  \n",
       "559891                         0.0  \n",
       "1411986                        0.0  \n",
       "623924                         0.0  \n",
       "865889                         1.0  \n",
       "74706                          0.0  \n",
       "605851                         NaN  \n",
       "678277                         0.0  \n",
       "949385                         0.0  \n",
       "1181779                        0.0  \n",
       "1247900                        0.0  \n",
       "663844                         0.0  \n",
       "799358                         NaN  \n",
       "674911                         0.0  \n",
       "1068472                        0.0  \n",
       "1432321                        0.0  \n",
       "707266                         0.0  \n",
       "742222                         NaN  \n",
       "1160649                        1.0  \n",
       "1429572                        NaN  \n",
       "1160648                        NaN  \n",
       "14881                          0.0  \n",
       "722056                         1.0  \n",
       "566689                         1.0  \n",
       "1035887                        NaN  \n",
       "736861                         0.0  \n",
       "1665832                        0.0  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp = df[df.SK_ID_CURR.isin(np.random.choice(ids, size=9))]\n",
    "tmp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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